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0=-4.9x^2+2x+450
We move all terms to the left:
0-(-4.9x^2+2x+450)=0
We add all the numbers together, and all the variables
-(-4.9x^2+2x+450)=0
We get rid of parentheses
4.9x^2-2x-450=0
a = 4.9; b = -2; c = -450;
Δ = b2-4ac
Δ = -22-4·4.9·(-450)
Δ = 8824
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8824}=\sqrt{4*2206}=\sqrt{4}*\sqrt{2206}=2\sqrt{2206}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{2206}}{2*4.9}=\frac{2-2\sqrt{2206}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{2206}}{2*4.9}=\frac{2+2\sqrt{2206}}{9.8} $
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