(8.5-2x)(6.5-2x)=V

Solution for (8.5-2x)(6.5-2x)=V equation:

(8.5-2x)(6.5-2x)=

We move all terms to the left:

(8.5-2x)(6.5-2x)-()=0

We add all the numbers together, and all the variables

(-2x+8.5)(-2x+6.5)-()=0

We add all the numbers together, and all the variables

(-2x+8.5)(-2x+6.5)=0

We multiply parentheses ..

(+4x^2-13x-17x+55.25)=0

We get rid of parentheses

4x^2-13x-17x+55.25=0

We add all the numbers together, and all the variables

4x^2-30x+55.25=0

a = 4; b = -30; c = +55.25;
Δ = b2-4ac
Δ = -302-4·4·55.25
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-4}{2*4}=\frac{26}{8}
=3+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+4}{2*4}=\frac{34}{8}
=4+1/4
$