Question

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

Answer 1

The answer is A
hope this helps

Answer 2

The solutions are 1.275 and -6.275

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 = (-b \pm √(b^2 - 4(a)(c)))/(2(a))`

`x = (-5 \pm √(5^2 - 4(1)(-8)))/(2(1))`

`x = (-5 \pm √(57))/(2)`

`x_1 = (-5 + √(57))/(2)`

`x_1 = (-5 + 7.55)/(2)`

`x_1 = 1.275`

`x_2 = (-5 - √(57))/(2)`

`x_2 = (-5 - 7.55)/(2)`

`x_2 = -6.275`