Question

What are the solutions of the equation (x – 8)2 = 144?

Enter your answer as the correct values, separated by a comma, like this: 42,53

If your answer includes a fraction, use the / symbol.
enter it like this: 3/14

Answer 1

`x = 80` ✅

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`(x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = (160)/(2) \\ ⇢ x = 80`

`\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}`

`2x - 16 = 144 \\ ➵ \: 2 * 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S`

Hence verified.

`\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘`