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受欢迎的代数 >

7g-5g^2=4

解答

7 g - 5 g^{2} = 4

解答

g = \frac{7}{10} - i \frac{31}{10}, g = \frac{7}{10} + i \frac{31}{10}

求解步骤

7 g - 5 g^{2} = 4

将

4

para o lado esquerdo

7 g - 5 g^{2} - 4 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 5 g^{2} + 7 g - 4 = 0

使用求根公式求解

g_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 5 ) ( - 4 )}{2 ( - 5 )}

化简

7^{2} - 4 (- 5) (- 4) : 31 i

g_{1, 2} = \frac{- 7 \pm 31 i}{2 ( - 5 )}

将解分隔开

g_{1} = \frac{- 7 + 31 i}{2 ( - 5 )}, g_{2} = \frac{- 7 - 31 i}{2 ( - 5 )}

g = \frac{- 7 + 31 i}{2 ( - 5 )} : \frac{7}{10} - i \frac{31}{10}

g = \frac{- 7 - 31 i}{2 ( - 5 )} : \frac{7}{10} + i \frac{31}{10}

二次方程组的解是:

g = \frac{7}{10} - i \frac{31}{10}, g = \frac{7}{10} + i \frac{31}{10}

作图

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