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受欢迎的代数 >

(3+x) 2/5+6(3-x) 2/5 =5(9-x^2) 1/5

解答

(3 + x) \frac{2}{5} + 6 (3 - x) \frac{2}{5} = 5 (9 - x^{2}) \frac{1}{5}

解答

x = - \frac{- 5 + 2 2}{5}, x = \frac{2 2 + 5}{5}

+1

十进制

x = - 0.26491 \dots, x = 2.26491 \dots

求解步骤

(3 + x) \frac{2}{5} + 6 (3 - x) \frac{2}{5} = 5 (9 - x^{2}) \frac{1}{5}

展开

(3 + x) \frac{2}{5} + 6 (3 - x) \frac{2}{5} : - 2 x + \frac{42}{5}

展开

5 (9 - x^{2}) \frac{1}{5} : 9 - x^{2}

- 2 x + \frac{42}{5} = 9 - x^{2}

交换两边

9 - x^{2} = - 2 x + \frac{42}{5}

将

\frac{42}{5}

para o lado esquerdo

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

将

2 x

para o lado esquerdo

- x^{2} + \frac{3}{5} + 2 x = 0

改写成标准形式

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

- x^{2} + 2 x + \frac{3}{5} = 0

使用求根公式求解

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

2^{2} - 4 (- 1) \frac{3}{5} = \frac{4 2}{5}

x_{1, 2} = \frac{- 2 \pm \frac{4 2}{5}}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 2 + \frac{4 2}{5}}{2 ( - 1 )}, x_{2} = \frac{- 2 - \frac{4 2}{5}}{2 ( - 1 )}

x = \frac{- 2 + \frac{4 2}{5}}{2 ( - 1 )} : - \frac{- 5 + 2 2}{5}

x = \frac{- 2 - \frac{4 2}{5}}{2 ( - 1 )} : \frac{2 2 + 5}{5}

二次方程组的解是:

x = - \frac{- 5 + 2 2}{5}, x = \frac{2 2 + 5}{5}

作图

流行的例子

x^{2} + 5 x - 22 = 6 x + 2

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

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

solvefor x,4x^2+4y^2+12x-24y+45=0

so l v e f or x, 4 x^{2} + 4 y^{2} + 12 x - 24 y + 45 = 0

3 + x^{2} = 0

solvefor x,Ax^2+Cy^2+Dx+Ey+F=0

so l v e f or x, A x^{2} + C y^{2} + D x + E y + F = 0