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受欢迎的代数 >

(x^2)/3 = 11/6 x+1

解答

\frac{x ^{2}}{3} = \frac{11}{6} x + 1

解答

x = 6, x = - \frac{1}{2}

+1

十进制

x = 6, x = - 0.5

求解步骤

\frac{x ^{2}}{3} = \frac{11}{6} x + 1

找到

3, 6

的最小公倍数:

6

乘以最小公倍数=

6

\frac{x ^{2}}{3} \cdot 6 = \frac{11}{6} x \cdot 6 + 1 \cdot 6

化简

2 x^{2} = 11 x + 6

将

6

para o lado esquerdo

2 x^{2} - 6 = 11 x

将

11 x

para o lado esquerdo

2 x^{2} - 6 - 11 x = 0

改写成标准形式

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

2 x^{2} - 11 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 ( - 6 )}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 (- 6) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 2}

x = \frac{- ( - 11 ) + 13}{2 \cdot 2} : 6

x = \frac{- ( - 11 ) - 13}{2 \cdot 2} : - \frac{1}{2}

二次方程组的解是:

x = 6, x = - \frac{1}{2}

作图

流行的例子

(k+2)x^2+5x-3=0

(k + 2) x^{2} + 5 x - 3 = 0

(x + 2)^{2} - 36 = 0

t^{2} - 36 = 0

(X^2}{64}-\frac{X^2)/9 =1

\frac{X ^{2}}{64} - \frac{X ^{2}}{9} = 1

completesquare x^2+6

co m pl e t es q u a re x^{2} + 6