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10x^2+21x+10=0
a = 10; b = 21; c = +10;
Δ = b2-4ac
Δ = 212-4·10·10
Δ = 41
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{-(21)-\sqrt{41}}{2*10}=\frac{-21-\sqrt{41}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{41}}{2*10}=\frac{-21+\sqrt{41}}{20} $
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