Find the value of k so that quadratic eq

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WebGiven quadratic equation: (k+4)x 2 +(k+1)x+1=0. Since the given quadratic equation has equal roots, its discriminant should be zero. ∴ D = 0 ⇒ (k+1) 2 −4 × (k+4) × 1=0 ⇒k 2 +2k+1−4k−16=0 ⇒k 2 −2k−15=0 ⇒k 2 −5k+3k−15=0 ⇒(k−5)(k+3)=0 ⇒k−5=0 or k+3=0 ⇒k=5 or −3 Thus, the values of k are 5 and −3. For k = 5 ... WebDec 29, 2024 · Find the value of K so that the quadratic equation has equal roots: (k-5)x^2+2 (k-5)x+2=0. 4,129 views. Dec 29, 2024. 106 Dislike Share Save. Math Army. 81.8K subscribers. Find the …

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WebIf − 5 is one root of quadratic equation 2 x 2 + p x − 1 5 = 0 and roots of quadratic equation p (x 2 + x) + k = 0 is equal, then find the value of k. Medium View solution WebApr 6, 2024 · Hint: It has given that the quadratic equation has equal roots. So this means the determinants will be zero. i.e. \[{b^2} - 4ac\]= 0, where a, b and c are the coefficients … how many sides are on a polygon

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Webfor any quadratic equation like: \purpleD {a}x^2 + \goldD {b}x + \redD {c} = 0 ax2 + bx + c = 0 What is the discriminant? The \goldD {\text {discriminant}} discriminant is the part of the quadratic formula under the square root. … WebA: Given- x2+5kx+6=0 To Find- The value of k for the above quadratic equation has no real roots.… Q: Assume the quadratic equation x squared +kx- 8 factors. Give three possible values for k, one of… WebIf one of the Zeros of polynomial f ( x) = K x 2 − 17 K + ( 3 K − 2) is reciprocal of other zero, then K is equal to: (a) 1, (b) -1, (c) 2, (d)-2. i solve the above question as follows. let the … how did mary mccartney die

Find the Value of k in the Quadratic Equation - onlinemath4all

Find the values of k for which the given quadratic equation has real ...

WebClick here👆to get an answer to your question ️ Find the value(s) of k so that the quadratic equation x^2 - 4kx + k = 0 has equal roots. Solve Study Textbooks Guides. Join / Login. Question . WebSep 4, 2024 · Learn how to find the value of the constant, k, in a trinomial quadratic expression so that it becomes a perfect square. Quick and simple explanation by PreMath.com Show more. how many sides are there in heptagonWebApr 22, 2024 · From the quadratic formula, we know that if the equation $ax^2+bx+c=0$ has two distinct real roots, then their difference is $2\sqrt{b^2-4ac}$. Plugging in the values ... how many sides are on one dice

"WebOct 23, 2024 · Find the values (s) of k so that the quadratic equation 3x2–2kx+12= 0 has equal roots. Advertisement Expert-Verified Answer 26 people found it helpful abhi569 Given equation : 3x^2 - 2kx + 12 = 0 On comparing the given equation with ax^2 + bx - c = 0 we get a = 3 b = -2k c = 12 Therefore, Discriminant = b^2 - 4ac = ( -2k )^2 - 4 ( 3 ) ( 12 ) " - Find the value of k so that quadratic eq

Find the value of k so that quadratic eq

Value(s) of k for which the quadratic equation 2x^2 – kx + k = 0 …

WebThe given quadratic equation is 3 x 2 − 2 k x + 1 2 = 0 On comparing it with the general quadratic equation a x 2 + b x + c = 0, we obtain a = 3, b = − 2 k and c = 1 2 … WebWe have to find the value of k so that the quadratic equation 2x^2 + 5x - k = 0 has two real solutions. Now the roots of a quadratic equation are given by [-b+ sqrt (b^2 - 4ac]/2a and...

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WebStep 1: Enter the equation you want to solve using the quadratic formula. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For … WebThere are different methods you can use to solve quadratic equations, depending on your particular problem. Solve By Factoring Example: 3x^2-2x-1=0 Complete The Square Example: 3x^2-2x-1=0 (After you click the example, change the Method to 'Solve By Completing the Square'.) Take the Square Root Example: 2x^2=18 Quadratic Formula

Web(ii) If x=4 is one root of (k+2)x^(2)-(5k+2)x-4=0, find the value of k. Also, find the other root of Quadratic Eq; Question: (ii) If x=4 is one root of (k+2)x^(2)-(5k+2)x-4=0, find the value of k. Also, find the other root of Quadratic Eq WebSolving for all values of k if a quadratic equation containing it has two distinct real roots Asked 6 years, 6 months ago Modified 6 years, 6 months ago Viewed 25k times 2 The …

WebFeb 10, 2024 · A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. There are three main ways to solve quadratic … WebMar 22, 2024 · Ex 4.4 ,2 Find the values of k for each of the following quadratic equations, so that they have two equal roots. (ii) kx (x – 2) + 6 = 0 kx (x – 2) + 6 = 0 kx2 – 2kx + 6 = 0 Comparing equation with ax2 + bx …

WebJul 25, 2015 · 2 Answers. Sorted by: 1. If you don't want to incorporate your prior knowledge to the problem, the quadratic equation has equal roots when the discriminant is equal to zero. ( k − 1) 2 + 4 ( 1) ( 1 + 2 k) = k 2 + 6 k + 5 = ( k + 1) ( k + 5) = 0 k ∈ { − 5, − 1 } Share.

WebMar 20, 2024 · Question 4. Views: 5,544. Find the point on the x-axis which is equidistant from (2,-5) and (-2,9) Topic: All topics. View 2 solutions. Question Text. 25) Find the value of k, for which one root of the quadratic equation kx2−14x+8=0 is … how many sides are on a megaminxWebSal solves the equation 2x^2+5=6x using the quadratic formula, and finds that the solutions are complex numbers. Created by Sal Khan and Monterey Institute for Technology and Education. Sort by: Top Voted Questions Tips & Thanks Want to join the conversation? Ari Mendelson 11 years ago how many sides are on a dnd diceWebMar 4, 2024 · So I am coding something that will include two variables that are taking place of constants in a quadratic equation. We have a quadratic that is equal to the first equation so we can solve it by hand but I want to verify my numbers. However the solutions for K1 and K2 keep getting messed up by the x value (which in this code is deemed l) … how did maryland get its nicknameWebStep 1: Enter the equation you want to solve using the quadratic formula. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For equations with real solutions, you can use the graphing tool to visualize the solutions. Quadratic Formula: x = −b±√b2 −4ac 2a x = − b ± b 2 − 4 a c 2 a. how did mary lindley murray impact on americaWebJun 12, 2024 · We know that quadratic equation ax2 + bx + c = 0 has equal roots if D = b2 – 4ac = 0. Therefore, given quadratic equation x2 – 4kx + k = 0 has equal roots if D = 0. ⇒ (−4k)2 – 4 × 1 × k = 0. (∵ In equation x2 – 4kx + k = 0, a = 1, b = – 4k & c = k) ⇒ 16k2 – 4K = 0 ⇒ 4k (4k – 1) = 0 ⇒ k = 0 or 4k – 1 = 0 ⇒ k = 0 or k = 1 4 1 4 . how did mary mackillop inspire othersWebThe formula to find the roots of the quadratic equation is x = [-b ± √ (b 2 - 4ac)]/2a. The sum of the roots of a quadratic equation is α + β = -b/a. The product of the Root of the quadratic equation is αβ = c/a. The quadratic equation whose roots are α, β, is x 2 - … how did mary mallon dieWebJun 26, 2024 · Learn how to find the coefficient of x and x^2 in a Quadratic Equation that has similar (equal) roots. Fast and Easy Explanation by PreMath.com how did mary mackillop become a saint