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2x^2-x-484=0
We add all the numbers together, and all the variables
2x^2-1x-484=0
a = 2; b = -1; c = -484;
Δ = b2-4ac
Δ = -12-4·2·(-484)
Δ = 3873
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{3873}}{2*2}=\frac{1-\sqrt{3873}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3873}}{2*2}=\frac{1+\sqrt{3873}}{4} $
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