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受欢迎的代数 >

x+30=4x^2+20x+25

解答

x + 30 = 4 x^{2} + 20 x + 25

解答

x = \frac{1}{4}, x = - 5

+1

十进制

x = 0.25, x = - 5

求解步骤

x + 30 = 4 x^{2} + 20 x + 25

交换两边

4 x^{2} + 20 x + 25 = x + 30

将

30

para o lado esquerdo

4 x^{2} + 20 x - 5 = x

将

x

para o lado esquerdo

4 x^{2} + 19 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- 19 \pm 1 9 ^{2} - 4 \cdot 4 ( - 5 )}{2 \cdot 4}

1 9^{2} - 4 \cdot 4 (- 5) = 21

x_{1, 2} = \frac{- 19 \pm 21}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 19 + 21}{2 \cdot 4}, x_{2} = \frac{- 19 - 21}{2 \cdot 4}

x = \frac{- 19 + 21}{2 \cdot 4} : \frac{1}{4}

x = \frac{- 19 - 21}{2 \cdot 4} : - 5

二次方程组的解是:

x = \frac{1}{4}, x = - 5

作图

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