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受欢迎的代数 >

(x-5)^2+x(x+3)=25

解答

(x - 5)^{2} + x (x + 3) = 25

解答

x = \frac{7}{2}, x = 0

+1

十进制

x = 3.5, x = 0

求解步骤

(x - 5)^{2} + x (x + 3) = 25

展开

(x - 5)^{2} + x (x + 3) : 2 x^{2} - 7 x + 25

2 x^{2} - 7 x + 25 = 25

将

25

para o lado esquerdo

2 x^{2} - 7 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 7)^{2} - 4 \cdot 2 \cdot 0 = 7

x_{1, 2} = \frac{- ( - 7 ) \pm 7}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 7}{2 \cdot 2}, x_{2} = \frac{- ( - 7 ) - 7}{2 \cdot 2}

x = \frac{- ( - 7 ) + 7}{2 \cdot 2} : \frac{7}{2}

x = \frac{- ( - 7 ) - 7}{2 \cdot 2} : 0

二次方程组的解是:

x = \frac{7}{2}, x = 0

作图

流行的例子

5 x^{2} - 12 x - 8 = 0

x^{2} - 3 = 4 x + 2

2 (x - 1)^{2} - 8 = 0

29 = x^{2} + 4

solvefor x,f=u_{1}(x^2)

so l v e f or x, f = u_{1} (x^{2})