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受欢迎的代数 >

h^2-30h-120=0

解答

h^{2} - 30 h - 120 = 0

解答

h = 15 + 345, h = 15 - 345

+1

十进制

h = 33.57417 \dots, h = - 3.57417 \dots

求解步骤

h^{2} - 30 h - 120 = 0

使用求根公式求解

h_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot ( - 120 )}{2 \cdot 1}

(- 30)^{2} - 4 \cdot 1 \cdot (- 120) = 2345

h_{1, 2} = \frac{- ( - 30 ) \pm 2 345}{2 \cdot 1}

将解分隔开

h_{1} = \frac{- ( - 30 ) + 2 345}{2 \cdot 1}, h_{2} = \frac{- ( - 30 ) - 2 345}{2 \cdot 1}

h = \frac{- ( - 30 ) + 2 345}{2 \cdot 1} : 15 + 345

h = \frac{- ( - 30 ) - 2 345}{2 \cdot 1} : 15 - 345

二次方程组的解是:

h = 15 + 345, h = 15 - 345

作图

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