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66x^2+x=10
We move all terms to the left:
66x^2+x-(10)=0
a = 66; b = 1; c = -10;
Δ = b2-4ac
Δ = 12-4·66·(-10)
Δ = 2641
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{2641}}{2*66}=\frac{-1-\sqrt{2641}}{132} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2641}}{2*66}=\frac{-1+\sqrt{2641}}{132} $
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