Find value of y {y}^(2) - 58 = 25 * 4 + 11 ​

Question

Find value of y


`{y}^(2) - 58 = 25 * 4 + 11`
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Answer 1

Hello there!

Answer:

y = ± 13

Explanation:

`y {}^(2) - 58 = 25 * 4 + 11 \\ y {}^(2) - 58 = 100 + 11 \\ y {}^(2) - 58 = 111 \\ y {}^(2) - 58 - 111 = 111 - 111 \\ y {}^(2) - 169 = 0 \\ (y + 13)(y - 13) = 0 \\ y = - 13 \: \: \: and \: \: \: y = 13`