Solving Equation: (x^2/a^2) + (y^2/b^2) = 1

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for (x^2/a^2) + (y^2/b^2) = 1 ,
may i know how to formula this eqn to get the roots??

thanx
 
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teng125 said:
for (x^2/a^2) + (y^2/b^2) = 1 ,
may i know how to formula this eqn to get the roots??

thanx
Uhmm, not sure what do you mean by formula this eqn, and get the roots? That's the euqtion of an ellipse. What's the exact question?
 
And what work have you tried on this? Have you even had any ideas?
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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