x(x+100)=1.10

Solution for x(x+100)=1.10 equation:

x(x+100)=1.10

We move all terms to the left:

x(x+100)-(1.10)=0

We add all the numbers together, and all the variables

x(x+100)-(1.1)=0

We add all the numbers together, and all the variables

x(x+100)-1.1=0

We multiply parentheses

x^2+100x-1.1=0

a = 1; b = 100; c = -1.1;
Δ = b2-4ac
Δ = 1002-4·1·(-1.1)
Δ = 10004.4
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{-(100)-\sqrt{10004.4}}{2*1}=\frac{-100-\sqrt{10004.4}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+\sqrt{10004.4}}{2*1}=\frac{-100+\sqrt{10004.4}}{2}
$