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3.90=17.5x-4.9x^2
We move all terms to the left:
3.90-(17.5x-4.9x^2)=0
We add all the numbers together, and all the variables
-(17.5x-4.9x^2)+3.9=0
We get rid of parentheses
4.9x^2-17.5x+3.9=0
a = 4.9; b = -17.5; c = +3.9;
Δ = b2-4ac
Δ = -17.52-4·4.9·3.9
Δ = 229.81
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{-(-17.5)-\sqrt{229.81}}{2*4.9}=\frac{17.5-\sqrt{229.81}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17.5)+\sqrt{229.81}}{2*4.9}=\frac{17.5+\sqrt{229.81}}{9.8} $
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