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受欢迎的代数 >

solvefor X,F=5X^2-2Y^2+3Z^3

解答

求解

X, F = 5 X^{2} - 2 Y^{2} + 3 Z^{3}

解答

X = \frac{F + 2 Y ^{2} - 3 Z ^{3}}{5}, X = - \frac{F + 2 Y ^{2} - 3 Z ^{3}}{5}

求解步骤

F = 5 X^{2} - 2 Y^{2} + 3 Z^{3}

交换两边

5 X^{2} - 2 Y^{2} + 3 Z^{3} = F

将

2 Y^{2}

到右边

5 X^{2} + 3 Z^{3} = F + 2 Y^{2}

将

3 Z^{3}

到右边

5 X^{2} = F + 2 Y^{2} - 3 Z^{3}

两边除以

5

X^{2} = \frac{F + 2 Y ^{2} - 3 Z ^{3}}{5}

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

X = \frac{F + 2 Y ^{2} - 3 Z ^{3}}{5}, X = - \frac{F + 2 Y ^{2} - 3 Z ^{3}}{5}

作图

流行的例子

solvefor x,z=x^2+2y^2+xy+3x+5y

so l v e f or x, z = x^{2} + 2 y^{2} + x y + 3 x + 5 y

3 x^{2} - 96 = 0

3 x^{2} - 21 = 27

0 = - 16 t^{2} + 5184

2x^2-6x+6=c_{1}(x^2+x-1)+c_{2}(x^2-x+1)

2 x^{2} - 6 x + 6 = c_{1} (x^{2} + x - 1) + c_{2} (x^{2} - x + 1)