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受欢迎的代数 >

((x^2))/9-x/2 = 1/3+x/9

解答

\frac{( x ^{2} )}{9} - \frac{x}{2} = \frac{1}{3} + \frac{x}{9}

解答

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

+1

十进制

x = 6, x = - 0.5

求解步骤

\frac{( x ^{2} )}{9} - \frac{x}{2} = \frac{1}{3} + \frac{x}{9}

找到

9, 2, 3

的最小公倍数:

18

乘以最小公倍数=

18

\frac{x ^{2}}{9} \cdot 18 - \frac{x}{2} \cdot 18 = \frac{1}{3} \cdot 18 + \frac{x}{9} \cdot 18

化简

2 x^{2} - 9 x = 6 + 2 x

将

2 x

para o lado esquerdo

2 x^{2} - 11 x = 6

将

6

para o lado esquerdo

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

solvefor x,x^2+y^2=b^2

so l v e f or x, x^{2} + y^{2} = b^{2}

solvefor x,(x^2)/(6^2)+8(y^2)/(9^2)=0

so l v e f or x, \frac{x ^{2}}{6 ^{2}} + 8 \frac{y ^{2}}{9 ^{2}} = 0

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

(2)2m^2-5m=0, 5/2 ,m=2

(2) 2 m^{2} - 5 m = 0, \frac{5}{2}, m = 2

((6x^2))/(100)+((6x))/(10)+5=6

\frac{( 6 x ^{2} )}{100} + \frac{( 6 x )}{10} + 5 = 6