(2x-9)(2x-1)=0

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Solution for (2x-9)(2x-1)=0 equation:



(2x-9)(2x-1)=0
We multiply parentheses ..
(+4x^2-2x-18x+9)=0
We get rid of parentheses
4x^2-2x-18x+9=0
We add all the numbers together, and all the variables
4x^2-20x+9=0
a = 4; b = -20; c = +9;
Δ = b2-4ac
Δ = -202-4·4·9
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-16}{2*4}=\frac{4}{8} =1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+16}{2*4}=\frac{36}{8} =4+1/2 $

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