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9.4=-4.9t^2+27.5t+9.4
We move all terms to the left:
9.4-(-4.9t^2+27.5t+9.4)=0
We get rid of parentheses
4.9t^2-27.5t-9.4+9.4=0
We add all the numbers together, and all the variables
4.9t^2-27.5t=0
a = 4.9; b = -27.5; c = 0;
Δ = b2-4ac
Δ = -27.52-4·4.9·0
Δ = 756.25
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{-(-27.5)-\sqrt{756.25}}{2*4.9}=\frac{27.5-\sqrt{756.25}}{9.8} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27.5)+\sqrt{756.25}}{2*4.9}=\frac{27.5+\sqrt{756.25}}{9.8} $
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