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3 years ago

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}

Mathematics

2 answers:

kenny6666 [7]3 years ago

8 0

Answer:

The solution set is {-12,2}.

Step-by-step explanation:

We have given a quadratic equation.

x² + 10x = 24

We have to find the solution of above equation by completing square.

Adding (5)² to both sides of above equation, we have

x²+10+(5)² = 24+ (5)²

(x+5)² = 24+25

(x+5)² = 49

Taking square root to both sides of above equation, we have

x+5 = ±7

x+5 = 7 or x+5 = -7

x = 7-5 or x = -7-5

x = 2 or x = -12

Hence, the solution set is {-12,2}.

guajiro [1.7K]3 years ago

3 0

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

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