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受欢迎的代数 >

(x+4)(x-2)=3

解答

(x + 4) (x - 2) = 3

解答

x = - 1 + 23, x = - 1 - 23

+1

十进制

x = 2.46410 \dots, x = - 4.46410 \dots

求解步骤

(x + 4) (x - 2) = 3

展开

(x + 4) (x - 2) : x^{2} + 2 x - 8

x^{2} + 2 x - 8 = 3

将

3

para o lado esquerdo

x^{2} + 2 x - 11 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 11 )}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot (- 11) = 43

x_{1, 2} = \frac{- 2 \pm 4 3}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 2 + 4 3}{2 \cdot 1}, x_{2} = \frac{- 2 - 4 3}{2 \cdot 1}

x = \frac{- 2 + 4 3}{2 \cdot 1} : - 1 + 23

x = \frac{- 2 - 4 3}{2 \cdot 1} : - 1 - 23

二次方程组的解是:

x = - 1 + 23, x = - 1 - 23

作图

流行的例子

x^2+2x(-x+2)-3(-x+2)^2=0

x^{2} + 2 x (- x + 2) - 3 (- x + 2)^{2} = 0

5 x^{2} = 6 x - 1

3 u^{2} + 24 u = 0

x^2+sqrt(5)x+1=0

x^{2} + 5 x + 1 = 0

solvefor t,-4.905t^2-0.517t-15=0

so l v e f or t, - 4.905 t^{2} - 0.517 t - 15 = 0