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-5+4.9x^2=14.74x
We move all terms to the left:
-5+4.9x^2-(14.74x)=0
We add all the numbers together, and all the variables
4.9x^2-(+14.74x)-5=0
We get rid of parentheses
4.9x^2-14.74x-5=0
a = 4.9; b = -14.74; c = -5;
Δ = b2-4ac
Δ = -14.742-4·4.9·(-5)
Δ = 315.2676
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{-(-14.74)-\sqrt{315.2676}}{2*4.9}=\frac{14.74-\sqrt{315.2676}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14.74)+\sqrt{315.2676}}{2*4.9}=\frac{14.74+\sqrt{315.2676}}{9.8} $
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