Question

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

- 5
-
7
-5 + 17
0 -5 -157 -5 + 157
0-5=17-57 v7
o S-x57.5+, 187
05-55+
IN
SEN
5 -
57
5 + 57
N

Answer 1

1.27, -6.27 to the nearest hundredth,

or if you require it in exact form,

-2.5 + √14.25, -2.5 - √14.25.

Explanation:

x^2 = -5x + 8

x^2 + 5x = 8

Competing the square:

(x + 2.5)^2 - 6.25 = 8

(x + 2.5) = 14.25

x + 2.5 = +/-√14.25

x = -2.5 + √14.25, -2.5 - √14.25

x = -2.5 + 3.77, -2.5 - 3.77

= 1.27, -6.27.