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受欢迎的代数 >

x^2+(x-5)^2=(x+5)^2

解答

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

解答

x = 20, x = 0

求解步骤

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

展开

x^{2} + (x - 5)^{2} : 2 x^{2} - 10 x + 25

展开

(x + 5)^{2} : x^{2} + 10 x + 25

2 x^{2} - 10 x + 25 = x^{2} + 10 x + 25

将

25

para o lado esquerdo

2 x^{2} - 10 x = x^{2} + 10 x

将

10 x

para o lado esquerdo

2 x^{2} - 20 x = x^{2}

将

x^{2}

para o lado esquerdo

x^{2} - 20 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 0 = 20

x_{1, 2} = \frac{- ( - 20 ) \pm 20}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 20}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 20}{2 \cdot 1}

x = \frac{- ( - 20 ) + 20}{2 \cdot 1} : 20

x = \frac{- ( - 20 ) - 20}{2 \cdot 1} : 0

二次方程组的解是:

x = 20, x = 0

作图

流行的例子

x (x + 14) = - 48

4^{2} + 1 0^{2} = c^{2}

solvefor x,x^2+y^2=2z

so l v e f or x, x^{2} + y^{2} = 2 z

solvefor a,a(a-b)=31

so l v e f or a, a (a - b) = 31

80+40t-4.9t^2=0

80 + 40 t - 4.9 t^{2} = 0