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15t^2-t-7=0
We add all the numbers together, and all the variables
15t^2-1t-7=0
a = 15; b = -1; c = -7;
Δ = b2-4ac
Δ = -12-4·15·(-7)
Δ = 421
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{421}}{2*15}=\frac{1-\sqrt{421}}{30} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{421}}{2*15}=\frac{1+\sqrt{421}}{30} $
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