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15t^2-47t=0
a = 15; b = -47; c = 0;
Δ = b2-4ac
Δ = -472-4·15·0
Δ = 2209
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{2209}=47$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-47)-47}{2*15}=\frac{0}{30} =0 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-47)+47}{2*15}=\frac{94}{30} =3+2/15 $
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