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受欢迎的代数 >

4x^2+8x-17=x^2-2x

解答

4 x^{2} + 8 x - 17 = x^{2} - 2 x

解答

x = \frac{- 5 + 2 19}{3}, x = - \frac{5 + 2 19}{3}

+1

十进制

x = 1.23926 \dots, x = - 4.57259 \dots

求解步骤

4 x^{2} + 8 x - 17 = x^{2} - 2 x

将

2 x

para o lado esquerdo

4 x^{2} + 10 x - 17 = x^{2}

将

x^{2}

para o lado esquerdo

3 x^{2} + 10 x - 17 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 3 ( - 17 )}{2 \cdot 3}

1 0^{2} - 4 \cdot 3 (- 17) = 419

x_{1, 2} = \frac{- 10 \pm 4 19}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 10 + 4 19}{2 \cdot 3}, x_{2} = \frac{- 10 - 4 19}{2 \cdot 3}

x = \frac{- 10 + 4 19}{2 \cdot 3} : \frac{- 5 + 2 19}{3}

x = \frac{- 10 - 4 19}{2 \cdot 3} : - \frac{5 + 2 19}{3}

二次方程组的解是:

x = \frac{- 5 + 2 19}{3}, x = - \frac{5 + 2 19}{3}

作图

流行的例子

s im pl i f y \frac{3}{2} \cdot 9

3 x^{2} - 36 x = 0

4/(3x-2)<= 2/(x+1)

\frac{4}{3 x - 2} \leq \frac{2}{x + 1}

4 x - 4 = - 40

(x - 3)^{2} = 0