Difficulty with a factorisation problem

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• May 9th 2012, 09:43 PM
FH88
Difficulty with a factorisation problem
Needed to solve :

2x* - 3x - 4 = 0

Any help would be greatly appreciated.
• May 9th 2012, 10:00 PM
amul28
Re: Difficulty with a factorisation problem
Roots of a quadratic equation $ax^2+bx+c=0$ are

$\frac {-b-\sqrt{b^2-4ac}} {2a}$ and $\frac {-b+\sqrt{b^2-4ac}} {2a}$, using these you get two roots.

For the given equation the roots are 2.35078 and -0.85078 (the have rounded the roots)

$\therefore$ the factore are $(x-2.35078)\miultiply(x+0.85078)=0$
• May 9th 2012, 10:09 PM
princeps
Re: Difficulty with a factorisation problem
Quote:

Originally Posted by FH88
Needed to solve :

2x* - 3x - 4 = 0

Any help would be greatly appreciated.

Hint :

$2x^2-3x-4=\frac{1}{8}(16x^2-24x+9-41)$