Find the positive value of k for which the equations: x2 + kx + 64 = 0 and x2 – 8x+ k = 0 will have real roots:(a) 12(b) 16(c) 18(d) 22

Question

Find the positive value of k for which the equations: x2 + kx + 64 = 0 and x2 – 8x+ k = 0 will have real roots:(a) 12(b) 16(c) 18(d) 22
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Solution 1

For a quadratic equation ax² + bx + c = 0 to have real roots, the discriminant (b² - 4ac) must be greater than or equal to 0.

  1. For the first equation x² + kx + 64 = 0, the discriminant is (k)² - 4164 = k² - 256. This must be greater than or equal to 0. So, k² - 256 >= 0. Solving this inequality 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

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