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受欢迎的代数 >

(x+5)^2=7(x+5)

解答

(x + 5)^{2} = 7 (x + 5)

解答

x = 2, x = - 5

求解步骤

(x + 5)^{2} = 7 (x + 5)

展开

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

展开

7 (x + 5) : 7 x + 35

x^{2} + 10 x + 25 = 7 x + 35

将

35

para o lado esquerdo

x^{2} + 10 x - 10 = 7 x

将

7 x

para o lado esquerdo

x^{2} + 3 x - 10 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot (- 10) = 7

x_{1, 2} = \frac{- 3 \pm 7}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 3 + 7}{2 \cdot 1}, x_{2} = \frac{- 3 - 7}{2 \cdot 1}

x = \frac{- 3 + 7}{2 \cdot 1} : 2

x = \frac{- 3 - 7}{2 \cdot 1} : - 5

二次方程组的解是:

x = 2, x = - 5

作图

流行的例子

solvefor t,h=t^2+2t

so l v e f or t, h = t^{2} + 2 t

2 x^{2} - 9 = 12 x

v^{2} - 3 = - 16

X^{2} - 6 X + 2 = 0

e^{2} = 90