(3/4)s=1464

Solution for (3/4)s=1464 equation:

(3/4)s=1464

We move all terms to the left:

(3/4)s-(1464)=0


Domain of the equation: 4)s!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

(+3/4)s-1464=0

We multiply parentheses

3s^2-1464=0

a = 3; b = 0; c = -1464;
Δ = b2-4ac
Δ = 02-4·3·(-1464)
Δ = 17568
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{17568}=\sqrt{144*122}=\sqrt{144}*\sqrt{122}=12\sqrt{122}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{122}}{2*3}=\frac{0-12\sqrt{122}}{6}
=-\frac{12\sqrt{122}}{6}
=-2\sqrt{122}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{122}}{2*3}=\frac{0+12\sqrt{122}}{6}
=\frac{12\sqrt{122}}{6}
=2\sqrt{122}
$