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0=4.9x^2+34.64x
We move all terms to the left:
0-(4.9x^2+34.64x)=0
We add all the numbers together, and all the variables
-(4.9x^2+34.64x)=0
We get rid of parentheses
-4.9x^2-34.64x=0
a = -4.9; b = -34.64; c = 0;
Δ = b2-4ac
Δ = -34.642-4·(-4.9)·0
Δ = 1199.9296
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{-(-34.64)-\sqrt{1199.9296}}{2*-4.9}=\frac{34.64-\sqrt{1199.9296}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34.64)+\sqrt{1199.9296}}{2*-4.9}=\frac{34.64+\sqrt{1199.9296}}{-9.8} $
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