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受欢迎的代数 >

((x^2+2))/2 =((7x-5))/3

解答

\frac{( x ^{2} + 2 )}{2} = \frac{( 7 x - 5 )}{3}

解答

x = \frac{8}{3}, x = 2

+1

十进制

x = 2.66666 \dots, x = 2

求解步骤

\frac{( x ^{2} + 2 )}{2} = \frac{( 7 x - 5 )}{3}

找到

2, 3

的最小公倍数:

6

乘以最小公倍数=

6

\frac{x ^{2} + 2}{2} \cdot 6 = \frac{7 x - 5}{3} \cdot 6

化简

3 (x^{2} + 2) = 2 (7 x - 5)

展开

3 (x^{2} + 2) : 3 x^{2} + 6

展开

2 (7 x - 5) : 14 x - 10

3 x^{2} + 6 = 14 x - 10

将

10

para o lado esquerdo

3 x^{2} + 16 = 14 x

将

14 x

para o lado esquerdo

3 x^{2} + 16 - 14 x = 0

改写成标准形式

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

3 x^{2} - 14 x + 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 \cdot 16}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 \cdot 16 = 2

x_{1, 2} = \frac{- ( - 14 ) \pm 2}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 2}{2 \cdot 3}

x = \frac{- ( - 14 ) + 2}{2 \cdot 3} : \frac{8}{3}

x = \frac{- ( - 14 ) - 2}{2 \cdot 3} : 2

二次方程组的解是:

x = \frac{8}{3}, x = 2

作图

流行的例子

11t^2-6t+1=2t^2

11 t^{2} - 6 t + 1 = 2 t^{2}

3 x^{2} + 7 x - 3 = 3 x + 1

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

因式分解 x^2+2x=0

f a c t or x^{2} + 2 x = 0

\frac{x ^{2}}{4} = 4