8x+5=36x2

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Solution for 8x+5=36x2 equation:



8x+5=36x^2
We move all terms to the left:
8x+5-(36x^2)=0
determiningTheFunctionDomain -36x^2+8x+5=0
a = -36; b = 8; c = +5;
Δ = b2-4ac
Δ = 82-4·(-36)·5
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-28}{2*-36}=\frac{-36}{-72} =1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+28}{2*-36}=\frac{20}{-72} =-5/18 $

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