f one of the two roots of x²- 4x - k = 0 is twice the other roots, then find the value of k.
Question
Solution 1
Let's solve this step by step:
Step 1: Let's assume the roots of the equation are a and 2a.
Step 2: According to Vieta's formulas, the sum of the roots is equal to -b/a, and the product of the roots is equal to c/a. In this case, a is 1, b is -4, and c is -k.
Step 3: So, a + 2a = -(-4) = 4, which Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
f one of the two roots of x²- 4x - k = 0 is twice the other roots, then find the value of k.
f –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.
If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.
If f(5 + x) = f(5 - x) for every real x and f(x) = 0 has four distinct real roots, then the sum of the roots is
If α, β are the roots of the quadratic equation kx2 + 4x + 4 = 0 , then the value of k such that α2 + β2 = 24 isSelect an answerA1B −23 C-1D 49