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Explain why the equation below has two solutions. Then solve the equation to find the solutions. Must show all work and have a written explanation to receive full credit.

(x+3)^2+8=72
Answer:

2 Answers

2 votes

Answer:

x = 5, -11

Explanation:

(x+3)² + 8 = 72

(x + 3)² = 64

When you square root both sides, put a +- with root(64)

(x + 3) = 8

x = 5

(x + 3) = -8

x = -11

User Mojtaba Tajik
by
8.1k points
5 votes

Answer:

The solutions are x=-11 and x=5

Explanation:

we have


(x+3)^2+8=72

Is a quadratic equation or equation of second degree.

The degree (largest exponent) is 2 so the maximum number of roots (solutions) is 2

Solve for x


(x+3)^2=72-8


(x+3)^2=64

take square root both sides


x+3=\pm8

subtract 3 both sides


x=-3\pm8


x=-3+8=5


x=-3-8=-11

therefore

The solutions are x=-11 and x=5

User Ran QUAN
by
9.0k points

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