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\( k^{2}-53=91 \) What is the positive solution to the given equation? A) 144 B) 72 C) 38 D) 12

Ask by Griffin Pearson. in the United States
Feb 20,2025

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The positive solution is 12.

Solución

We start with the equation: k² - 53 = 91. Add 53 to both sides to isolate k²:   k² = 91 + 53   k² = 144 Taking the square root of both sides (and considering the positive solution as requested):   k = 12 Therefore, the positive solution is 12. The correct answer is D) 12.

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To solve the equation \( k^{2} - 53 = 91 \), we first add 53 to both sides: \( k^{2} = 91 + 53 \) This simplifies to: \( k^{2} = 144 \) Now we take the square root of both sides: \( k = \sqrt{144} \) Thus, the positive solution is: \( k = 12 \) The correct answer is D) 12.

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