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4x^2-x=1728
We move all terms to the left:
4x^2-x-(1728)=0
We add all the numbers together, and all the variables
4x^2-1x-1728=0
a = 4; b = -1; c = -1728;
Δ = b2-4ac
Δ = -12-4·4·(-1728)
Δ = 27649
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{27649}}{2*4}=\frac{1-\sqrt{27649}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{27649}}{2*4}=\frac{1+\sqrt{27649}}{8} $
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