X=23/4y=4

Solution for X=23/4y=4 equation:

X=23/4X=4

We move all terms to the left:

X-(23/4X)=0


Domain of the equation: 4X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+23/4X)=0

We get rid of parentheses

X-23/4X=0

We multiply all the terms by the denominator


X*4X-23=0

Wy multiply elements

4X^2-23=0

a = 4; b = 0; c = -23;
Δ = b2-4ac
Δ = 02-4·4·(-23)
Δ = 368
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:

$\sqrt{\Delta}=\sqrt{368}=\sqrt{16*23}=\sqrt{16}*\sqrt{23}=4\sqrt{23}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{23}}{2*4}=\frac{0-4\sqrt{23}}{8}
=-\frac{4\sqrt{23}}{8}
=-\frac{\sqrt{23}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{23}}{2*4}=\frac{0+4\sqrt{23}}{8}
=\frac{4\sqrt{23}}{8}
=\frac{\sqrt{23}}{2}
$