(3/4)x=61.4

Solution for (3/4)x=61.4 equation:

(3/4)x=61.4

We move all terms to the left:

(3/4)x-(61.4)=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-(61.4)=0

We add all the numbers together, and all the variables

(+3/4)x-61.4=0

We multiply parentheses

3x^2-61.4=0

a = 3; b = 0; c = -61.4;
Δ = b2-4ac
Δ = 02-4·3·(-61.4)
Δ = 736.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{736.8}}{2*3}=\frac{0-\sqrt{736.8}}{6}
=-\frac{\sqrt{}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{736.8}}{2*3}=\frac{0+\sqrt{736.8}}{6}
=\frac{\sqrt{}}{6}
$