16.50=9.5x2

Solution for 16.50=9.5x2 equation:

16.50=9.5x^2

We move all terms to the left:

16.50-(9.5x^2)=0

We add all the numbers together, and all the variables

-(9.5x^2)+16.5=0

We get rid of parentheses

-9.5x^2+16.5=0

a = -9.5; b = 0; c = +16.5;
Δ = b2-4ac
Δ = 02-4·(-9.5)·16.5
Δ = 627
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{-(0)-\sqrt{627}}{2*-9.5}=\frac{0-\sqrt{627}}{-19}
=-\frac{\sqrt{}}{-19}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{627}}{2*-9.5}=\frac{0+\sqrt{627}}{-19}
=\frac{\sqrt{}}{-19}
$