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4.9x^2+27.5x+9.8=9.8
We move all terms to the left:
4.9x^2+27.5x+9.8-(9.8)=0
We add all the numbers together, and all the variables
4.9x^2+27.5x=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:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27.5)-\sqrt{756.25}}{2*4.9}=\frac{-27.5-\sqrt{756.25}}{9.8} $$x_{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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