(5+2x)(8+2x)=61.75

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Solution for (5+2x)(8+2x)=61.75 equation:



(5+2x)(8+2x)=61.75
We move all terms to the left:
(5+2x)(8+2x)-(61.75)=0
We add all the numbers together, and all the variables
(2x+5)(2x+8)-(61.75)=0
We add all the numbers together, and all the variables
(2x+5)(2x+8)-61.75=0
We multiply parentheses ..
(+4x^2+16x+10x+40)-61.75=0
We get rid of parentheses
4x^2+16x+10x+40-61.75=0
We add all the numbers together, and all the variables
4x^2+26x-21.75=0
a = 4; b = 26; c = -21.75;
Δ = b2-4ac
Δ = 262-4·4·(-21.75)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-32}{2*4}=\frac{-58}{8} =-7+1/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+32}{2*4}=\frac{6}{8} =3/4 $

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