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how to solve

 

9x^4=100

 Mar 22, 2016
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how to solve

9x^4=100

 

\(\begin{array}{rcll} 9\cdot x^4 &=& 100 \quad & | \quad :9 \\ x^4 &=& \frac{100}{9} \\ x^4 &=& \frac{10^2}{3^2} \\ (x^2)^2 &=& \frac{10^2}{3^2} \\ (x^2)^2 &=& \left( \frac{10}{3} \right)^2 \quad & | \quad \sqrt{} \\ x^2 &=& \frac{10}{3} \quad & | \quad \pm \sqrt{} \\ x &=& \pm\sqrt{ \frac{10}{3} } \\ x_1 &=& + 1.82574185835\\ x_2 &=& - 1.82574185835\\ \end{array}\)

 

laugh

 Mar 22, 2016

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