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受欢迎的 >

(x-2)^2+x^2=10^2

解答

(x - 2)^{2} + x^{2} = 1 0^{2}

解答

x = 8, x = - 6

求解步骤

(x - 2)^{2} + x^{2} = 1 0^{2}

展开

(x - 2)^{2} + x^{2} : 2 x^{2} - 4 x + 4

展开

1 0^{2} : 100

2 x^{2} - 4 x + 4 = 100

将

100

para o lado esquerdo

2 x^{2} - 4 x - 96 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 2 ( - 96 )}{2 \cdot 2}

(- 4)^{2} - 4 \cdot 2 (- 96) = 28

x_{1, 2} = \frac{- ( - 4 ) \pm 28}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 28}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 28}{2 \cdot 2}

x = \frac{- ( - 4 ) + 28}{2 \cdot 2} : 8

x = \frac{- ( - 4 ) - 28}{2 \cdot 2} : - 6

二次方程组的解是:

x = 8, x = - 6

流行的例子

60 t + 36 \geq 300

sqrt(3)x+sqrt(12)=(x+4)/(sqrt(3))

3 x + 12 = \frac{x + 4}{3}

化简 (sqrt(-24))/(sqrt(-2))化简

\frac{- 24}{- 2}

9 - x^{2} \leq 0

\frac{d}{3} \geq 6