(3/4)x=1230

Solution for (3/4)x=1230 equation:

(3/4)x=1230

We move all terms to the left:

(3/4)x-(1230)=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

(+3/4)x-1230=0

We multiply parentheses

3x^2-1230=0

a = 3; b = 0; c = -1230;
Δ = b2-4ac
Δ = 02-4·3·(-1230)
Δ = 14760
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:

$\sqrt{\Delta}=\sqrt{14760}=\sqrt{36*410}=\sqrt{36}*\sqrt{410}=6\sqrt{410}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{410}}{2*3}=\frac{0-6\sqrt{410}}{6}
=-\frac{6\sqrt{410}}{6}
=-\sqrt{410}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{410}}{2*3}=\frac{0+6\sqrt{410}}{6}
=\frac{6\sqrt{410}}{6}
=\sqrt{410}
$