Question

Find roots of the quadratic equation 4x² 4kx 9=0.

Answer 1

To find the roots of the quadratic equation 4x² + 4kx + 9 = 0, use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)

Step-by-step explanation:

To find the roots of the quadratic equation 4x² + 4kx + 9 = 0, we can use the quadratic formula. The formula is given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 4, b = 4k, and c = 9. Substituting these values into the formula, we get:

x = (-4k ± √(4k² - 4(4)(9))) / (2(4))

Simplifying further, we have:

x = (-k ± √(k² - 9)) / 2

So, the roots of the quadratic equation are x = (-k ± √(k² - 9)) / 2.