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受欢迎的代数 >

solvefor a,a^2=2ax-x^2

解答

求解

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

解答

a = x

求解步骤

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

将

x^{2}

para o lado esquerdo

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

将

2 a x

para o lado esquerdo

a^{2} + x^{2} - 2 a x = 0

改写成标准形式

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

a^{2} - 2 x a + x^{2} = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 2 x ) \pm ( - 2 x ) ^{2} - 4 \cdot 1 \cdot x ^{2}}{2 \cdot 1}

(- 2 x)^{2} - 4 \cdot 1 \cdot x^{2} = 0

a_{1, 2} = \frac{- ( - 2 x ) \pm 0}{2 \cdot 1}

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

化简

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

a = x

二次方程组的解是:

a = x

作图

流行的例子

solvefor t,(1-t^2)x^2-2t^2x-(t^2+1)=0

so l v e f or t, (1 - t^{2}) x^{2} - 2 t^{2} x - (t^{2} + 1) = 0

-4x^2-530x+265=0

- 4 x^{2} - 530 x + 265 = 0

6 x^{2} - 42 x + 36 = 0

13(x^2-x)=-2-2x^2

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

x (x - 2) = 143