t is given that the equation |9x2 + 12x – 7| = k has exactly four distinct real roots. Find the number of integer values k can take.
Question
Solution 1
The given equation is |9x^2 + 12x – 7| = k.
Step 1: Let's first solve the quadratic equation 9x^2 + 12x – 7 = 0.
Step 2: The roots of the equation can be found using the quadratic formula x = [-b ± sqrt(b^2 - 4ac)] / 2a. Here, a = 9, b = 12, and c = -7.
Step 3: Substituting these values into th Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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