5x=38-4.9x^2

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Solution for 5x=38-4.9x^2 equation:



5x=38-4.9x^2
We move all terms to the left:
5x-(38-4.9x^2)=0
We get rid of parentheses
4.9x^2+5x-38=0
a = 4.9; b = 5; c = -38;
Δ = b2-4ac
Δ = 52-4·4.9·(-38)
Δ = 769.8
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{-(5)-\sqrt{769.8}}{2*4.9}=\frac{-5-\sqrt{769.8}}{9.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{769.8}}{2*4.9}=\frac{-5+\sqrt{769.8}}{9.8} $

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