(11/4)x=297

Solution for (11/4)x=297 equation:

(11/4)x=297

We move all terms to the left:

(11/4)x-(297)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+11/4)x-297=0

We multiply parentheses

11x^2-297=0

a = 11; b = 0; c = -297;
Δ = b2-4ac
Δ = 02-4·11·(-297)
Δ = 13068
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{13068}=\sqrt{4356*3}=\sqrt{4356}*\sqrt{3}=66\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66\sqrt{3}}{2*11}=\frac{0-66\sqrt{3}}{22}
=-\frac{66\sqrt{3}}{22}
=-3\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66\sqrt{3}}{2*11}=\frac{0+66\sqrt{3}}{22}
=\frac{66\sqrt{3}}{22}
=3\sqrt{3}
$