2^(9/4)=x

Solution for 2^(9/4)=x equation:

2^(9/4)=x

We move all terms to the left:

2^(9/4)-(x)=0

We add all the numbers together, and all the variables

-x+2^(+9/4)=0

We add all the numbers together, and all the variables

-1x+2^(+9/4)=0

We multiply all the terms by the denominator


-1x*4)+2^(+9=0

Wy multiply elements

-4x^2+9=0

a = -4; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-4)·9
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-4}=\frac{-12}{-8}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-4}=\frac{12}{-8}
=-1+1/2
$