34=6.5(2)+l(2)

Solution for 34=6.5(2)+l(2) equation:

34=6.5(2)+l(2)

We move all terms to the left:

34-(6.5(2)+l(2))=0

We add all the numbers together, and all the variables

-(+l^2+6.52)+34=0

We get rid of parentheses

-l^2-6.52+34=0

We add all the numbers together, and all the variables

-1l^2+27.48=0

a = -1; b = 0; c = +27.48;
Δ = b2-4ac
Δ = 02-4·(-1)·27.48
Δ = 109.92
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{109.92}}{2*-1}=\frac{0-\sqrt{109.92}}{-2}
=-\frac{\sqrt{}}{-2}
$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{109.92}}{2*-1}=\frac{0+\sqrt{109.92}}{-2}
=\frac{\sqrt{}}{-2}
$