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受欢迎的代数 >

solvefor x,b^2x^2-a^2y^2=3a^2b^2

解答

求解

x, b^{2} x^{2} - a^{2} y^{2} = 3 a^{2} b^{2}

解答

x = \frac{a 3 b ^{2} + y ^{2}}{b}, x = - \frac{a 3 b ^{2} + y ^{2}}{b}; b \neq = 0

求解步骤

b^{2} x^{2} - a^{2} y^{2} = 3 a^{2} b^{2}

将

a^{2} y^{2}

到右边

b^{2} x^{2} = 3 a^{2} b^{2} + a^{2} y^{2}

两边除以

b^{2}; b \neq = 0

x^{2} = \frac{3 b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}}; b \neq = 0

对于

x^{2} = f (a)

解为

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

x = \frac{3 b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}}, x = - \frac{3 b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}}; b \neq = 0

化简

\frac{3 b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}} : \frac{a 3 b ^{2} + y ^{2}}{b}

化简

- \frac{3 b ^{2} a ^{2} + a ^{2} y ^{2}}{b ^{2}} : - \frac{a 3 b ^{2} + y ^{2}}{b}

x = \frac{a 3 b ^{2} + y ^{2}}{b}, x = - \frac{a 3 b ^{2} + y ^{2}}{b}; b \neq = 0

作图

流行的例子

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G (x) = - 0.003 x^{2} + 6 x - 1700

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266 = 0.68 \cdot 100 \cdot X \cdot 1.79 \cdot (4.75 - 0.4 \cdot X)

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