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3x^2-15x+1=0
a = 3; b = -15; c = +1;
Δ = b2-4ac
Δ = -152-4·3·1
Δ = 213
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{-(-15)-\sqrt{213}}{2*3}=\frac{15-\sqrt{213}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{213}}{2*3}=\frac{15+\sqrt{213}}{6} $
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