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-400=-4.9x^2
We move all terms to the left:
-400-(-4.9x^2)=0
We get rid of parentheses
4.9x^2-400=0
a = 4.9; b = 0; c = -400;
Δ = b2-4ac
Δ = 02-4·4.9·(-400)
Δ = 7840
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7840}=\sqrt{16*490}=\sqrt{16}*\sqrt{490}=4\sqrt{490}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{490}}{2*4.9}=\frac{0-4\sqrt{490}}{9.8} =-\frac{4\sqrt{490}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{490}}{2*4.9}=\frac{0+4\sqrt{490}}{9.8} =\frac{4\sqrt{490}}{9.8} $
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