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受欢迎的代数 >

2t^2-10t-5=0

解答

2 t^{2} - 10 t - 5 = 0

解答

t = \frac{5 + 35}{2}, t = \frac{5 - 35}{2}

+1

十进制

t = 5.45803 \dots, t = - 0.45803 \dots

求解步骤

2 t^{2} - 10 t - 5 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 2}

(- 10)^{2} - 4 \cdot 2 (- 5) = 235

t_{1, 2} = \frac{- ( - 10 ) \pm 2 35}{2 \cdot 2}

将解分隔开

t_{1} = \frac{- ( - 10 ) + 2 35}{2 \cdot 2}, t_{2} = \frac{- ( - 10 ) - 2 35}{2 \cdot 2}

t = \frac{- ( - 10 ) + 2 35}{2 \cdot 2} : \frac{5 + 35}{2}

t = \frac{- ( - 10 ) - 2 35}{2 \cdot 2} : \frac{5 - 35}{2}

二次方程组的解是:

t = \frac{5 + 35}{2}, t = \frac{5 - 35}{2}

作图

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