Question

Solve.

x^2 − 5x − 8 = 0

Enter your answers, as exact values, in the boxes.

x = blank or x = blank

PLEASE NOTE I think that these are the answers, but I need help!!!

Answer 1

To solve the equation x² - 5x - 8 = 0, we can use the quadratic formula. The solutions for x are (5 + √57) / 2 and (5 - √57) / 2.

Step-by-step explanation:

To solve the equation x² - 5x - 8 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 1, b = -5, and c = -8. Plugging in these values, we get:

x = (5 ± √((-5)² - 4(1)(-8))) / (2(1))

Simplifying further, we have:

x = (5 ± √(25 + 32)) / 2

x = (5 ± √57) / 2

Therefore, the solutions for x are:

x = (5 + √57) / 2

x = (5 - √57) / 2