(x²+2)/2=2√(x³+1)

Have tried a lot of things, but I am pretty certain that I am making a mistake in my initial steps so I dont think

a copy of my tries would be of help.

thanks in advance

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- Apr 9th 2013, 02:33 PMIppoPolynomial equation
(x²+2)/2=2√(x³+1)

Have tried a lot of things, but I am pretty certain that I am making a mistake in my initial steps so I dont think

a copy of my tries would be of help.

thanks in advance - Apr 9th 2013, 03:00 PMemakarovRe: Polynomial equation
Have you tried denoting x^2 + 1 by t?

- Apr 9th 2013, 03:54 PMIppoRe: Polynomial equation
not specifically x^2 + 1 , but i have tried the method , and after reducing the equation to x^4 - 16x^3 - 12 = 0 - I am blank .

Any way to get a Real number solution ? - Apr 9th 2013, 04:14 PMHallsofIvyRe: Polynomial equation
First, that's not a polynomial equation. Second there is a missing "(" on the left. Is it supposed to be ?

And it is hard to read- that is on the right, not as emkarov seemed to think.

The first thing you should do is make it a polynomial equation by squaring both sides.

.

By the "rational root theorem" the only possible roots of that are the factor of 12: 1, -1, 2, -2, 4, -4, 8, -8, 12, and -12.

And unless I have done the arithemtic wrong none of those satisfy the equation so the equation has only irrational or complex roots.

- Apr 9th 2013, 04:20 PMIppoRe: Polynomial equation
what happened to the 4 in the denominator

- Apr 9th 2013, 04:22 PMHallsofIvyRe: Polynomial equation
I

**knew**some one would catch me! It took me too long to correct it. - Sep 5th 2013, 08:45 PMthevinhRe: Polynomial equation