Question

What is the sum of the solutions to (x − 6)(x + 0.7) = 0 ?

Answer 1

`5.3\\`

Explanation:

The solutions of the given equations are

`(x - 6)(x + 0.7) = 0\\\\\\x - 6 = 0 ; x = 6\\x + 0.7 = 0; x = -0.7\\x = 6, 0.7\\`

Difference between the two solutions of the equation is

`= 6 - (0.7)\\= 5.3\\`

Answer 2

5.3

Explanation:

(x − 6)(x + 0.7) = 0

using the zero product property

x-6=0 x+.7 =0

x-6+6 = 0+6 x+.7 -.7 = 0-.7

x = 6 x= -.7

sum of the solutions

6+-.7 = 5.3