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受欢迎的代数 >

(x-a)^2=a^2

解答

(x - a)^{2} = a^{2}

解答

x = 2 a, x = 0

求解步骤

(x - a)^{2} = a^{2}

展开

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

x^{2} - 2 a x + a^{2} = a^{2}

将

a^{2}

para o lado esquerdo

x^{2} - 2 a x = 0

使用求根公式求解

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

化简

(- 2 a)^{2} - 4 \cdot 1 \cdot 0 : 2 a

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

将解分隔开

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

x = \frac{- ( - 2 a ) + 2 a}{2 \cdot 1} : 2 a

x = \frac{- ( - 2 a ) - 2 a}{2 \cdot 1} : 0

二次方程组的解是:

x = 2 a, x = 0

作图

流行的例子

4 x^{2} + 10 = 19

x^{2} = 319

5 x^{2} = 7 + 3 x

- 9 x^{2} + 4 = - 21

x (x + 4) = 2300