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98=-16x^2+80x+2
We move all terms to the left:
98-(-16x^2+80x+2)=0
We get rid of parentheses
16x^2-80x-2+98=0
We add all the numbers together, and all the variables
16x^2-80x+96=0
a = 16; b = -80; c = +96;
Δ = b2-4ac
Δ = -802-4·16·96
Δ = 256
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-16}{2*16}=\frac{64}{32} =2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+16}{2*16}=\frac{96}{32} =3 $
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