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受欢迎的代数 >

(4+3x)^2+x^2=146

解答

(4 + 3 x)^{2} + x^{2} = 146

解答

x = \frac{13}{5}, x = - 5

+1

十进制

x = 2.6, x = - 5

求解步骤

(4 + 3 x)^{2} + x^{2} = 146

展开

(4 + 3 x)^{2} + x^{2} : 16 + 24 x + 10 x^{2}

16 + 24 x + 10 x^{2} = 146

将

146

para o lado esquerdo

10 x^{2} + 24 x - 130 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 10 ( - 130 )}{2 \cdot 10}

2 4^{2} - 4 \cdot 10 (- 130) = 76

x_{1, 2} = \frac{- 24 \pm 76}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- 24 + 76}{2 \cdot 10}, x_{2} = \frac{- 24 - 76}{2 \cdot 10}

x = \frac{- 24 + 76}{2 \cdot 10} : \frac{13}{5}

x = \frac{- 24 - 76}{2 \cdot 10} : - 5

二次方程组的解是:

x = \frac{13}{5}, x = - 5

作图

流行的例子

7 x^{2} + 8 x - 9 = 10

- 5 x^{2} + 11 x + 36 = 0

3 x^{2} + 5 = 59

x^{2} = 2 (x + 12)

t^{2} + 4 t + 12 = 0