Question

use the quadratic formula to solve the equation.

-x^2 + 7x - 10 =0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation -x^2 + 7x - 10 = 0 using the quadratic formula, let's first identify the coefficients:

a = -1
b = 7
c = -10

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values, we get:

x = (-(7) ± √((7)^2 - 4(-1)(-10))) / (2(-1))

Simplifying further:

x = (-7 ± √(49 - 40)) / (-2)

x = (-7 ± √9) / (-2)

Taking the square root:

x = (-7 ± 3) / (-2)

This gives us two possible solutions:

x = (-7 + 3) / (-2) = -4 / (-2) = 2
x = (-7 - 3) / (-2) = -10 / (-2) = 5

Therefore, the solutions to the equation -x^2 + 7x - 10 = 0 are x = 2 and x = 5.