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受欢迎的代数 >

(4x-3)^2+(4x+3)^2=25

解答

(4 x - 3)^{2} + (4 x + 3)^{2} = 25

解答

x = \frac{7}{4 2}, x = - \frac{7}{4 2}

+1

十进制

x = 0.46770 \dots, x = - 0.46770 \dots

求解步骤

(4 x - 3)^{2} + (4 x + 3)^{2} = 25

展开

(4 x - 3)^{2} + (4 x + 3)^{2} : 32 x^{2} + 18

32 x^{2} + 18 = 25

将

25

para o lado esquerdo

32 x^{2} - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 32 ( - 7 )}{2 \cdot 32}

0^{2} - 4 \cdot 32 (- 7) = 814

x_{1, 2} = \frac{- 0 \pm 8 14}{2 \cdot 32}

将解分隔开

x_{1} = \frac{- 0 + 8 14}{2 \cdot 32}, x_{2} = \frac{- 0 - 8 14}{2 \cdot 32}

x = \frac{- 0 + 8 14}{2 \cdot 32} : \frac{7}{4 2}

x = \frac{- 0 - 8 14}{2 \cdot 32} : - \frac{7}{4 2}

二次方程组的解是:

x = \frac{7}{4 2}, x = - \frac{7}{4 2}

作图

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