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受欢迎的代数 >

a^2+(-a/7)^2=1

解答

a^{2} + (- \frac{a}{7})^{2} = 1

解答

a = \frac{7}{5 2}, a = - \frac{7}{5 2}

+1

十进制

a = 0.98994 \dots, a = - 0.98994 \dots

求解步骤

a^{2} + (- \frac{a}{7})^{2} = 1

展开

a^{2} + (- \frac{a}{7})^{2} : \frac{50 a ^{2}}{49}

\frac{50 a ^{2}}{49} = 1

将

1

para o lado esquerdo

\frac{50 a ^{2}}{49} - 1 = 0

使用求根公式求解

a_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot \frac{50}{49} ( - 1 )}{2 \cdot \frac{50}{49}}

0^{2} - 4 \cdot \frac{50}{49} (- 1) = \frac{10 2}{7}

a_{1, 2} = \frac{- 0 \pm \frac{10 2}{7}}{2 \cdot \frac{50}{49}}

将解分隔开

a_{1} = \frac{- 0 + \frac{10 2}{7}}{2 \cdot \frac{50}{49}}, a_{2} = \frac{- 0 - \frac{10 2}{7}}{2 \cdot \frac{50}{49}}

a = \frac{- 0 + \frac{10 2}{7}}{2 \frac{50}{49}} : \frac{7}{5 2}

a = \frac{- 0 - \frac{10 2}{7}}{2 \frac{50}{49}} : - \frac{7}{5 2}

二次方程组的解是:

a = \frac{7}{5 2}, a = - \frac{7}{5 2}

作图

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