58.8x=-4.9(x2)+19.6x+58.8

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Solution for 58.8x=-4.9(x2)+19.6x+58.8 equation:



58.8x=-4.9(x2)+19.6x+58.8
We move all terms to the left:
58.8x-(-4.9(x2)+19.6x+58.8)=0
We add all the numbers together, and all the variables
-(-4.9x^2+19.6x+58.8)+58.8x=0
We get rid of parentheses
4.9x^2-19.6x+58.8x-58.8=0
We add all the numbers together, and all the variables
4.9x^2+39.2x-58.8=0
a = 4.9; b = 39.2; c = -58.8;
Δ = b2-4ac
Δ = 39.22-4·4.9·(-58.8)
Δ = 2689.12
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{-(39.2)-\sqrt{2689.12}}{2*4.9}=\frac{-39.2-\sqrt{2689.12}}{9.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39.2)+\sqrt{2689.12}}{2*4.9}=\frac{-39.2+\sqrt{2689.12}}{9.8} $

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