Answer:
The correct answer is option A.
Step-by-step explanation:
(x + 5)(x - 2) = 18
Using identity :
[tex](x+a)(x+b)=x^2+(a+b)x+ab[/tex]
x = x, a = 5, b = -2
[tex](x + 5)(x - 2) = 18[/tex]
[tex]x^2+(5+(-2))x+5\times (-2)=18[/tex]
[tex]x^2+3x-10=18[/tex]
[tex]x^2+3x-28=0[/tex]
Using Middle term splitting method to factorize:
[tex]x^2+7x-4x-28=0[/tex]
[tex]x(x+7)+(-4)(x+7)=0[/tex]
[tex](x+7)(x-4)=0[/tex]
So, we have two solutions of x:
1) [tex](x+7)=0[/tex]
2) [tex](x-4)=0[/tex]
