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t^2-3t-180=0
a = 1; b = -3; c = -180;
Δ = b2-4ac
Δ = -32-4·1·(-180)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{729}=27$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-27}{2*1}=\frac{-24}{2} =-12 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+27}{2*1}=\frac{30}{2} =15 $
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