Converting Quadratic Equation to Complex Polar Form

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Homework Statement


I'm supposed to convert the quadratic equation into complex polar form to find the roots of a quadratic with complex constants. so b2-4ac = p*cis(phi) and (b^2-4ac)1/2 has two roots 1.p1/2cis(1/2 * phi+2pi) and 2. p1/2(phi/2)

so I've subbed everything into the equation but it is not simplifying. What is this equation supposed to be, I can't find it in my textbook.

Thanks
 
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CarmineCortez said:

Homework Statement


I'm supposed to convert the quadratic equation into complex polar form to find the roots of a quadratic with complex constants...
Could you please write the problem statement, word for word, Carmine.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

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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