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受欢迎的代数 >

4u^2+24u+4=0

解答

4 u^{2} + 24 u + 4 = 0

解答

u = - 3 + 22, u = - 3 - 22

+1

十进制

u = - 0.17157 \dots, u = - 5.82842 \dots

求解步骤

4 u^{2} + 24 u + 4 = 0

使用求根公式求解

u_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 4}{2 \cdot 4}

2 4^{2} - 4 \cdot 4 \cdot 4 = 162

u_{1, 2} = \frac{- 24 \pm 16 2}{2 \cdot 4}

将解分隔开

u_{1} = \frac{- 24 + 16 2}{2 \cdot 4}, u_{2} = \frac{- 24 - 16 2}{2 \cdot 4}

u = \frac{- 24 + 16 2}{2 \cdot 4} : - 3 + 22

u = \frac{- 24 - 16 2}{2 \cdot 4} : - 3 - 22

二次方程组的解是:

u = - 3 + 22, u = - 3 - 22

作图

流行的例子

z^{2} - 10 z + 34 = 0

1-7/30 x-1/15 x^2=0

1 - \frac{7}{30} x - \frac{1}{15} x^{2} = 0

(x + 9) (x - 3) = 0

solvefor a,9a^2-a^2=c^2

so l v e f or a, 9 a^{2} - a^{2} = c^{2}

x(3(x-4))+(x-3)+(4x+2)+(2x-1)=300

x (3 (x - 4)) + (x - 3) + (4 x + 2) + (2 x - 1) = 300