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受欢迎的代数 >

10x^2=41x+18

解答

10 x^{2} = 41 x + 18

解答

x = \frac{9}{2}, x = - \frac{2}{5}

+1

十进制

x = 4.5, x = - 0.4

求解步骤

10 x^{2} = 41 x + 18

将

18

para o lado esquerdo

10 x^{2} - 18 = 41 x

将

41 x

para o lado esquerdo

10 x^{2} - 18 - 41 x = 0

改写成标准形式

a x^{2} + b x + c = 0

10 x^{2} - 41 x - 18 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 41 ) \pm ( - 41 ) ^{2} - 4 \cdot 10 ( - 18 )}{2 \cdot 10}

(- 41)^{2} - 4 \cdot 10 (- 18) = 49

x_{1, 2} = \frac{- ( - 41 ) \pm 49}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- ( - 41 ) + 49}{2 \cdot 10}, x_{2} = \frac{- ( - 41 ) - 49}{2 \cdot 10}

x = \frac{- ( - 41 ) + 49}{2 \cdot 10} : \frac{9}{2}

x = \frac{- ( - 41 ) - 49}{2 \cdot 10} : - \frac{2}{5}

二次方程组的解是:

x = \frac{9}{2}, x = - \frac{2}{5}

作图

流行的例子

3 x^{2} + 5 x - 4 + n = 0

11 x^{2} + 12 = 0

1.5t^2-17.6t-75=0

1.5 t^{2} - 17.6 t - 75 = 0

0 = - x^{2} + 4 x + 12

3(x-2)=2(x^2-9)+x^2-5(x+2)

3 (x - 2) = 2 (x^{2} - 9) + x^{2} - 5 (x + 2)