x+35=22x2

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Solution for x+35=22x2 equation:



x+35=22x^2
We move all terms to the left:
x+35-(22x^2)=0
determiningTheFunctionDomain -22x^2+x+35=0
a = -22; b = 1; c = +35;
Δ = b2-4ac
Δ = 12-4·(-22)·35
Δ = 3081
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{-(1)-\sqrt{3081}}{2*-22}=\frac{-1-\sqrt{3081}}{-44} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{3081}}{2*-22}=\frac{-1+\sqrt{3081}}{-44} $

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