Question

Which are the solutions of x2 = –5x + 8?

Answer 1

Answer:

The solutions are 1.275 and -6.275

Step-by-step explanation:

Given

x^2 = –5x + 8

First, put all terms in the left side of the equal sign, as follows:

x^2 + 5x - 8 = 0

Then, use the quadratic formula with a = 1 (the coefficient of the quadratic term), b = 5 (the coefficient of the linear term) and c = -8 (the independent term).

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

$x = \frac{-5 \pm \sqrt{5^2 - 4(1)(-8)}}{2(1)}$

$x = \frac{-5 \pm \sqrt{57}}{2}$

$x_1 = \frac{-5 + \sqrt{57}}{2}$

$x_1 = \frac{-5 + 7.55}{2}$

$x_1 = 1.275$

$x_2 = \frac{-5 - \sqrt{57}}{2}$

$x_2 = \frac{-5 - 7.55}{2}$

$x_2 = -6.275$

Answer 2

The answer is A
hope this helps