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受欢迎的代数 >

5x=6x^2-3

解答

5 x = 6 x^{2} - 3

解答

x = \frac{5 + 97}{12}, x = \frac{5 - 97}{12}

+1

十进制

x = 1.23740 \dots, x = - 0.40407 \dots

求解步骤

5 x = 6 x^{2} - 3

交换两边

6 x^{2} - 3 = 5 x

将

5 x

para o lado esquerdo

6 x^{2} - 3 - 5 x = 0

改写成标准形式

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

6 x^{2} - 5 x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 6 ( - 3 )}{2 \cdot 6}

(- 5)^{2} - 4 \cdot 6 (- 3) = 97

x_{1, 2} = \frac{- ( - 5 ) \pm 97}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 97}{2 \cdot 6}, x_{2} = \frac{- ( - 5 ) - 97}{2 \cdot 6}

x = \frac{- ( - 5 ) + 97}{2 \cdot 6} : \frac{5 + 97}{12}

x = \frac{- ( - 5 ) - 97}{2 \cdot 6} : \frac{5 - 97}{12}

二次方程组的解是:

x = \frac{5 + 97}{12}, x = \frac{5 - 97}{12}

作图

流行的例子

60(10^6)=((-900+x)(0.025))/((pi/2)(0.025^4))

60 (1 0^{6}) = \frac{( - 900 + x ) ( 0.025 )}{( \frac{π}{2} ) ( 0.02 5 ^{4} )}

因式分解 x^4-50x^2+49

f a c t or x^{4} - 50 x^{2} + 49

化简 2/(1+sqrt(5))

s im pl i f y \frac{2}{1 + 5}

\frac{x}{3} - \frac{x}{5} = 7

因式分解 12x^2-13x+3

f a c t or 12 x^{2} - 13 x + 3