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x2-x-5/2=0
We add all the numbers together, and all the variables
x^2-1x-5/2=0
We multiply all the terms by the denominator
x^2*2-1x*2-5=0
Wy multiply elements
2x^2-2x-5=0
a = 2; b = -2; c = -5;
Δ = b2-4ac
Δ = -22-4·2·(-5)
Δ = 44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{44}=\sqrt{4*11}=\sqrt{4}*\sqrt{11}=2\sqrt{11}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{11}}{2*2}=\frac{2-2\sqrt{11}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{11}}{2*2}=\frac{2+2\sqrt{11}}{4} $
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