2x^2+x 1=0 2x^2+2x x 1=0 2x(x+1) 1(x+1)=0 (2x 1)(x+1)=0 x=1/2 #160; #160; x= 1 ...

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Factorisation by Regrouping Terms

Solve: 2x2+x...

Question

Solve:
$2 x^{2} + x - 1$ =0

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Solution

$2 x^{2} + x - 1 = 0$
$2 x^{2} + 2 x - x - 1 = 0$
$2 x (x + 1) - 1 (x + 1) = 0$
$(2 x - 1) (x + 1) = 0$
$x = \frac{1}{2}$ $x = - 1$

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