What are the solutions of the quadratic equation (x + 3)2 = 49? A. O x = 2 and x = - 10 B.O.x = 4 and x = -10 C.O x=-2 and x = -
16 D.O x = 40 and x = -58
1 answer:
Answer:
B. x = 4 and x = -10
Step-by-step explanation:
First, expand the equation
(x + 3)² = 49
(x + 3)(x + 3) = 49
x² + 6x + 9 = 49
Subtract 49 from both sides
x² + 6x -40 = 0
Factor
(x + 10)(x - 4) = 0
Solve
x + 10 = 0
x = -10
x - 4 = 0
x = 4
So, the correct answer is B. x = 4 and x = -10
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