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受欢迎的代数 >

solvefor x,4y^2+9x^2-24y-72+144=0

解答

求解

x, 4 y^{2} + 9 x^{2} - 24 y - 72 + 144 = 0

解答

x = \frac{2 - y ^{2} + 6 y - 18}{3}, x = - \frac{2 - y ^{2} + 6 y - 18}{3}

求解步骤

4 y^{2} + 9 x^{2} - 24 y - 72 + 144 = 0

将

4 y^{2}

到右边

9 x^{2} - 24 y - 72 + 144 = - 4 y^{2}

将

24 y

到右边

9 x^{2} - 72 + 144 = - 4 y^{2} + 24 y

将

72

到右边

9 x^{2} + 144 = - 4 y^{2} + 24 y + 72

将

144

到右边

9 x^{2} = - 4 y^{2} + 24 y - 72

两边除以

9

x^{2} = \frac{- 4 y ^{2} + 24 y - 72}{9}

对于

x^{2} = f (a)

解为

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

x = \frac{- 4 y ^{2} + 24 y - 72}{9}, x = - \frac{- 4 y ^{2} + 24 y - 72}{9}

化简

\frac{- 4 y ^{2} + 24 y - 72}{9} : \frac{2 - y ^{2} + 6 y - 18}{3}

化简

- \frac{- 4 y ^{2} + 24 y - 72}{9} : - \frac{2 - y ^{2} + 6 y - 18}{3}

x = \frac{2 - y ^{2} + 6 y - 18}{3}, x = - \frac{2 - y ^{2} + 6 y - 18}{3}

作图

流行的例子

-x^2+4.6x-5.29=0

- x^{2} + 4.6 x - 5.29 = 0

X^{2} - 6 X + 1 = 0

solvefor x,6x^2y+5y^3+3x^2=12-x^2y^2

so l v e f or x, 6 x^{2} y + 5 y^{3} + 3 x^{2} = 12 - x^{2} y^{2}

x^{2} + 9 x = 43.75

3 x^{2} - 24 x + 40 = 28