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受欢迎的代数 >

4x^2-12x-(x+5)^2=-32

解答

4 x^{2} - 12 x - (x + 5)^{2} = - 32

解答

x = 7, x = \frac{1}{3}

+1

十进制

x = 7, x = 0.33333 \dots

求解步骤

4 x^{2} - 12 x - (x + 5)^{2} = - 32

展开

4 x^{2} - 12 x - (x + 5)^{2} : 3 x^{2} - 22 x - 25

3 x^{2} - 22 x - 25 = - 32

将

32

para o lado esquerdo

3 x^{2} - 22 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

(- 22)^{2} - 4 \cdot 3 \cdot 7 = 20

x_{1, 2} = \frac{- ( - 22 ) \pm 20}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 22 ) + 20}{2 \cdot 3}, x_{2} = \frac{- ( - 22 ) - 20}{2 \cdot 3}

x = \frac{- ( - 22 ) + 20}{2 \cdot 3} : 7

x = \frac{- ( - 22 ) - 20}{2 \cdot 3} : \frac{1}{3}

二次方程组的解是:

x = 7, x = \frac{1}{3}

作图

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