Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
Multiply both sides of the equation by (x+1), on the right hand side the denominator then goes away and on the left hand side you get (x+1)(x+1), foil that out then just solve for x
Answer:
B
Step-by-step explanation:
31-23=8
41-31=10
53-41=12
So next number should be 53+14, that is 67.
Follow the rule:
67+16=83
83+18=101
