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受欢迎的代数 >

2x^2-6x=4x+7

解答

2 x^{2} - 6 x = 4 x + 7

解答

x = \frac{5 + 39}{2}, x = \frac{5 - 39}{2}

+1

十进制

x = 5.62249 \dots, x = - 0.62249 \dots

求解步骤

2 x^{2} - 6 x = 4 x + 7

将

7

para o lado esquerdo

2 x^{2} - 6 x - 7 = 4 x

将

4 x

para o lado esquerdo

2 x^{2} - 10 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 2 ( - 7 )}{2 \cdot 2}

(- 10)^{2} - 4 \cdot 2 (- 7) = 239

x_{1, 2} = \frac{- ( - 10 ) \pm 2 39}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 39}{2 \cdot 2}, x_{2} = \frac{- ( - 10 ) - 2 39}{2 \cdot 2}

x = \frac{- ( - 10 ) + 2 39}{2 \cdot 2} : \frac{5 + 39}{2}

x = \frac{- ( - 10 ) - 2 39}{2 \cdot 2} : \frac{5 - 39}{2}

二次方程组的解是:

x = \frac{5 + 39}{2}, x = \frac{5 - 39}{2}

作图

流行的例子

0.1n^2+100n+8=3600000

0.1 n^{2} + 100 n + 8 = 3600000

x^{2} + 0.3 x - 0.4 = 0

2 (z - \frac{1}{9})^{2} = 14

4 (u + 1)^{2} = 18

s^2-30s+205=-46

s^{2} - 30 s + 205 = - 46