Question

Which of the following is a solution of x2 - 7x = -5?

Answer 1

It wants you to use the quadratic formula, do you know what that is? @jenniferjuice

Answer 2

The Quadratic Formula is:

\(x = \Large\frac{b \pm \sqrt{b^2 - 4ac}}{2a}\)

It is used for solving equations in the form of \('ax^2 + bx = c'\).

Answer 3

In your case:

a = 1

b = -7

c = -5

Answer 4

Plug them into the Quadratic equation and SOLVE.

Answer 5

\(x = \Large\frac{-b~ \pm \sqrt{b^2 ~- ~4ac}}{2a}\)

\(x = \Large\frac{7~ \pm \sqrt{-7^2~ - ~4(1)(-5)}}{2(1)}\)

\(x = \Large\frac{7~ \pm \sqrt{49~ - ~4(-5)}}{2}\)

\(x = \Large\frac{7~ \pm \sqrt{49~ + ~20}}{2}\)

\(x = \Large\frac{7~ \pm \sqrt{69}}{2}\)

Answer 6

@jenniferjuice