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Simplify √49 + [√81 - x(9x = 14)]

1 Answer

4 votes


\longrightarrow{\green{- 9 {x}^(2) + 14x + 16}}


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


√(49) + [ √(81) - x \: (9x - 14) ] \\ \\ = √(7 * 7) + [ √(9 * 9) - 9 {x}^(2) + 14x] \\ \\ = \sqrt{( {7})^(2) } + [ \sqrt{ ({9})^(2) } - 9 {x}^(2) + 14x ] \\ \\ (∵ \sqrt{ ({x})^(2) } = x ) \\ \\ = 7 + (9 - 9 {x}^(2) + 14x) \\ \\ = 7 + 9 - 9 {x}^(2) + 14x \\ \\ = - 9 {x}^(2) + 14x + 16


\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}

User Jesse Atkinson
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