Use the quadratic formula to solve the equation.
−x2+5x=−9
(1 point)
Responses
x = {52±61√2}
x = {52±61√2}
x = {5±612−−√}
x = {5±612−−√}
x = {52±11√2}
x = {52±11√2}
x = {72±17√2}
To solve the equation −x^2+5x=−9 using the quadratic formula, we need to first rewrite it in the form ax^2 + bx + c = 0.
In this case, a = -1, b = 5, and c = -9.
Now, we can plug these values into the quadratic formula x = (-b ± √(b^2 - 4ac))/2a.
x = (-5 ± √(5^2 - 4(-1)(-9)))/2(-1)
x = (-5 ± √(25 - 36))/(-2)
x = (-5 ± √(-11))/(-2)
Since the expression inside the square root is negative, there are no real solutions to this equation. Therefore, the correct response is:
No real solutions.