Use the zero product property to find the solutions to the equation x2 + x – 30 = 12. x = –7 or x = 6 x = –7 or x = –6 x = –6 or x = 7 x = 6 or x = 7

Question

asked Dec 17, 2017 130k views

2 Answers

Jmkjaer · Answer 1 · 2017-12-22T18:16:55+0000

Answer: Our solutions are x= -7 or x = 6.

Explanation:

Since we have given that

x^2+x-30=12

We need to find the solutions to the above equations:

First we calculate the constants:

$x^2+x-30=12\\\\x^2+x-30-12=0\\\\x^2+x-42=0$

Now, we will split the middle term:

$x^2+x-42=0\\\\x^2+7x-6x-42=0\\\\x(x+7)-6(x-7)=0\\\\(x+7)(x-6)=0$

As we know that

a.b=0

⇒either a = 0 or b = 0

$(x+7)=0\ or\ (x-6)=0\\\\x=-7,6$

So, our solutions are x= -7 or x = 6.