x2+-6.5x=46

Solution for x2+-6.5x=46 equation:

x2+-6.5x=46

We move all terms to the left:

x2+-6.5x-(46)=0

determiningTheFunctionDomain
x2-6.5x-46+=0

We add all the numbers together, and all the variables

x^2-6.5x=0

a = 1; b = -6.5; c = 0;
Δ = b2-4ac
Δ = -6.52-4·1·0
Δ = 42.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6.5)-\sqrt{42.25}}{2*1}=\frac{6.5-\sqrt{42.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.5)+\sqrt{42.25}}{2*1}=\frac{6.5+\sqrt{42.25}}{2}
$