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受欢迎的代数 >

3(d-x)^2=x^2

解答

3 (d - x)^{2} = x^{2}

解答

x = \frac{( 3 + 3 ) d}{2}, x = \frac{( 3 - 3 ) d}{2}

求解步骤

3 (d - x)^{2} = x^{2}

展开

3 (d - x)^{2} : 3 d^{2} - 6 d x + 3 x^{2}

3 d^{2} - 6 d x + 3 x^{2} = x^{2}

将

x^{2}

para o lado esquerdo

3 d^{2} - 6 d x + 2 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

2 x^{2} - 6 d x + 3 d^{2} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 d ) \pm ( - 6 d ) ^{2} - 4 \cdot 2 \cdot 3 d ^{2}}{2 \cdot 2}

化简

(- 6 d)^{2} - 4 \cdot 2 \cdot 3 d^{2} : 23 d

x_{1, 2} = \frac{- ( - 6 d ) \pm 2 3 d}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 6 d ) + 2 3 d}{2 \cdot 2}, x_{2} = \frac{- ( - 6 d ) - 2 3 d}{2 \cdot 2}

x = \frac{- ( - 6 d ) + 2 3 d}{2 \cdot 2} : \frac{( 3 + 3 ) d}{2}

x = \frac{- ( - 6 d ) - 2 3 d}{2 \cdot 2} : \frac{( 3 - 3 ) d}{2}

二次方程组的解是:

x = \frac{( 3 + 3 ) d}{2}, x = \frac{( 3 - 3 ) d}{2}

作图

流行的例子

12 x^{2} = 8 x - 8

15x^2+1107.91x-17739.55=0

15 x^{2} + 1107.91 x - 17739.55 = 0

(x - 1)^{2} = 5 - x^{2}

2x^2+(2-sqrt(3))x-sqrt(3)=0

2 x^{2} + (2 - 3) x - 3 = 0

6 x^{2} - 7 x + 3 = 0