Use the quadratic formula to solve the equation. −x^2+5x=−9

1 answer

The equation in standard form is:
-x^2 + 5x + 9 = 0

To solve this equation using the quadratic formula, we have:
x = (-b ± √(b^2 - 4ac))/(2a)

In this equation, a = -1, b = 5, and c = 9.

Plugging these values into the quadratic formula, we get:
x = (-(5) ± √((5)^2 - 4(-1)(9)))/(2(-1))
x = (-5 ± √(25 + 36))/(-2)
x = (-5 ± √(61))/(-2)

Therefore, the solutions to the equation -x^2 + 5x = -9 are:
x = (-5 + √(61))/(-2) and x = (-5 - √(61))/(-2)