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受欢迎的代数 >

3x^2+5=11x

解答

3 x^{2} + 5 = 11 x

解答

x = \frac{11 + 61}{6}, x = \frac{11 - 61}{6}

+1

十进制

x = 3.13504 \dots, x = 0.53162 \dots

求解步骤

3 x^{2} + 5 = 11 x

将

11 x

para o lado esquerdo

3 x^{2} + 5 - 11 x = 0

改写成标准形式

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

3 x^{2} - 11 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 \cdot 5 = 61

x_{1, 2} = \frac{- ( - 11 ) \pm 61}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 61}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 61}{2 \cdot 3}

x = \frac{- ( - 11 ) + 61}{2 \cdot 3} : \frac{11 + 61}{6}

x = \frac{- ( - 11 ) - 61}{2 \cdot 3} : \frac{11 - 61}{6}

二次方程组的解是:

x = \frac{11 + 61}{6}, x = \frac{11 - 61}{6}

作图

流行的例子

化简 (25/2)^2

s im pl i f y (\frac{25}{2})^{2}

log_{1/2}((1-x)/(2-x))<0

lo g_{\frac{1}{2}} (\frac{1 - x}{2 - x}) < 0

3 x^{2} = 108

因式分解 25x^4-36

f a c t or 25 x^{4} - 36

5x^2-7x-6=-10x-4

5 x^{2} - 7 x - 6 = - 10 x - 4