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受欢迎的代数 >

a^2x^2-11/6 ax-215/144 = 121/144

解答

a^{2} x^{2} - \frac{11}{6} a x - \frac{215}{144} = \frac{121}{144}

解答

x = \frac{11 + 457}{12 a}, x = \frac{11 - 457}{12 a}; a \neq = 0

求解步骤

a^{2} x^{2} - \frac{11}{6} a x - \frac{215}{144} = \frac{121}{144}

找到

6, 144

的最小公倍数:

144

乘以最小公倍数=

144

a^{2} x^{2} \cdot 144 - \frac{11}{6} a x \cdot 144 - \frac{215}{144} \cdot 144 = \frac{121}{144} \cdot 144

化简

144 a^{2} x^{2} - 264 a x - 215 = 121

将

121

para o lado esquerdo

144 a^{2} x^{2} - 264 a x - 336 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 264 a ) \pm ( - 264 a ) ^{2} - 4 \cdot 144 a ^{2} ( - 336 )}{2 \cdot 144 a ^{2}}

化简

(- 264 a)^{2} - 4 \cdot 144 a^{2} (- 336) : 24457 a

x_{1, 2} = \frac{- ( - 264 a ) \pm 24 457 a}{2 \cdot 144 a ^{2}}; a \neq = 0

将解分隔开

x_{1} = \frac{- ( - 264 a ) + 24 457 a}{2 \cdot 144 a ^{2}}, x_{2} = \frac{- ( - 264 a ) - 24 457 a}{2 \cdot 144 a ^{2}}

x = \frac{- ( - 264 a ) + 24 457 a}{2 \cdot 144 a ^{2}} : \frac{11 + 457}{12 a}

x = \frac{- ( - 264 a ) - 24 457 a}{2 \cdot 144 a ^{2}} : \frac{11 - 457}{12 a}

二次方程组的解是:

x = \frac{11 + 457}{12 a}, x = \frac{11 - 457}{12 a}; a \neq = 0

作图

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