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受欢迎的代数 >

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

解答

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

解答

x = \frac{13 + 3 17}{4}, x = \frac{13 - 3 17}{4}

+1

十进制

x = 6.34232 \dots, x = 0.15767 \dots

求解步骤

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

展开

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

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

将

3 x

para o lado esquerdo

2 x^{2} - 13 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 2 \cdot 2}{2 \cdot 2}

(- 13)^{2} - 4 \cdot 2 \cdot 2 = 317

x_{1, 2} = \frac{- ( - 13 ) \pm 3 17}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 13 ) + 3 17}{2 \cdot 2}, x_{2} = \frac{- ( - 13 ) - 3 17}{2 \cdot 2}

x = \frac{- ( - 13 ) + 3 17}{2 \cdot 2} : \frac{13 + 3 17}{4}

x = \frac{- ( - 13 ) - 3 17}{2 \cdot 2} : \frac{13 - 3 17}{4}

二次方程组的解是:

x = \frac{13 + 3 17}{4}, x = \frac{13 - 3 17}{4}

作图

流行的例子

5 x - 7 x^{2} = 7

35x^2-2=7-14x^2

35 x^{2} - 2 = 7 - 14 x^{2}

4x(3x+2)=24x+16

4 x (3 x + 2) = 24 x + 16

x^{2} - 16 x + 3 x = 90

x (x + 4) = - 5