(3/4)x=154

Solution for (3/4)x=154 equation:

(3/4)x=154

We move all terms to the left:

(3/4)x-(154)=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-154=0

We multiply parentheses

3x^2-154=0

a = 3; b = 0; c = -154;
Δ = b2-4ac
Δ = 02-4·3·(-154)
Δ = 1848
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:

$\sqrt{\Delta}=\sqrt{1848}=\sqrt{4*462}=\sqrt{4}*\sqrt{462}=2\sqrt{462}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{462}}{2*3}=\frac{0-2\sqrt{462}}{6}
=-\frac{2\sqrt{462}}{6}
=-\frac{\sqrt{462}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{462}}{2*3}=\frac{0+2\sqrt{462}}{6}
=\frac{2\sqrt{462}}{6}
=\frac{\sqrt{462}}{3}
$