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受欢迎的代数 >

-16t^2+65.62t-98.43=0

解答

- 16 t^{2} + 65.62 t - 98.43 = 0

解答

t = \frac{3281}{1600} - i \frac{7 101711}{1600}, t = \frac{3281}{1600} + i \frac{7 101711}{1600}

求解步骤

- 16 t^{2} + 65.62 t - 98.43 = 0

在两边乘以

100

- 1600 t^{2} + 6562 t - 9843 = 0

使用求根公式求解

t_{1, 2} = \frac{- 6562 \pm 656 2 ^{2} - 4 ( - 1600 ) ( - 9843 )}{2 ( - 1600 )}

化简

656 2^{2} - 4 (- 1600) (- 9843) : 14101711 i

t_{1, 2} = \frac{- 6562 \pm 14 101711 i}{2 ( - 1600 )}

将解分隔开

t_{1} = \frac{- 6562 + 14 101711 i}{2 ( - 1600 )}, t_{2} = \frac{- 6562 - 14 101711 i}{2 ( - 1600 )}

t = \frac{- 6562 + 14 101711 i}{2 ( - 1600 )} : \frac{3281}{1600} - i \frac{7 101711}{1600}

t = \frac{- 6562 - 14 101711 i}{2 ( - 1600 )} : \frac{3281}{1600} + i \frac{7 101711}{1600}

二次方程组的解是:

t = \frac{3281}{1600} - i \frac{7 101711}{1600}, t = \frac{3281}{1600} + i \frac{7 101711}{1600}

作图

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