Question

What are the solutions to the equation (x + 2)^2 = 49?

x= -9, -5
х = -9, 5
x = -5, 9
х = 5, 9

Please helppppppp

Answer 1

b part

Explanation:

x = -9 ,5 or you can say 5 ,-9

Answer 2

X= 5, -9

Explanation:

(X+2)² =49

Expand the bracket,


(X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0

Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9