Question

Consider the equation (x−4)(x+3)=0.

e. Rewrite the equation as a compound statement.
f. Find the two solutions to the equation.

Answer 1

(1) x (x+ 3) - 4 (x +3) = 0

(2) x = 4 and x = -3

Explanation:

given data

equation

(x−4)(x+3)=0

solution

given equation (x−4)(x+3) = 0

equation as a compound statement is

x (x+ 3) - 4 (x +3) = 0

and

two solutions to the equation are

so x (x+ 3) - 4 (x +3) = 0

x- 4 = 0 and x + 3 = 0

x = 4 and x = -3