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受欢迎的代数 >

(x+4)^2+6=7(x+4)

解答

(x + 4)^{2} + 6 = 7 (x + 4)

解答

x = 2, x = - 3

求解步骤

(x + 4)^{2} + 6 = 7 (x + 4)

展开

(x + 4)^{2} + 6 : x^{2} + 8 x + 22

展开

7 (x + 4) : 7 x + 28

x^{2} + 8 x + 22 = 7 x + 28

将

28

para o lado esquerdo

x^{2} + 8 x - 6 = 7 x

将

7 x

para o lado esquerdo

x^{2} + x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 6 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 6) = 5

x_{1, 2} = \frac{- 1 \pm 5}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 1 + 5}{2 \cdot 1}, x_{2} = \frac{- 1 - 5}{2 \cdot 1}

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

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

二次方程组的解是:

x = 2, x = - 3

作图

流行的例子

-4.9t^2+13t+18=0

- 4.9 t^{2} + 13 t + 18 = 0

25 x^{2} + 1 = 20 x

\frac{1}{2} c^{2} + 3 c = 1

t^{2} - t + 6 = 0

completesquare x^2+2x-9=0

co m pl e t es q u a re x^{2} + 2 x - 9 = 0