Question

Resolva usando raízes quadrada
$\frac{6 {x}^{2} }{3} = 50$
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Answer 1

$\LARGE\tt{} \dfrac{6 {x}^{2} }{3} = 50 \\ \\\LARGE\tt{} \dfrac{\cancel{6} {x}^{2} }{\cancel{3}} = 50 \\ \\\LARGE\tt{} 2 {x}^{2} = 50 \\ \\ \LARGE\tt{}2 {x}^{2} \div 2 = 50 \div 2 \\ \LARGE\tt{} {x}^{2} = 50 \div 2 \\ \LARGE\tt{} {x}^{2} = 25 \\ \\ \LARGE\tt{}x = \pm \: \sqrt{25} \\ \LARGE\tt{}x = \pm \: 5 \\ \\ \LARGE\tt{}x = - 5 \\ \LARGE\tt{}x = 5 \\ \\ \LARGE\tt{}s :\{ x_{1} = - 5 \} \\ \LARGE\tt{}s: \{ x_{2} = 5 \}$

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Answer 2

Explicação passo-a-passo:

$\frac{6x {}^{2} }{3} = 50$

$6x {}^{2} = 3.50$

$6x {}^{2} = 150$

$x {}^{2} = \frac{150}{6}$

$x {}^{2} = 25$

$x = ( + ou - ) \sqrt{25} = + 5 \: \: e \: \: - 5$