(3/44)x+1.25=5

Solution for (3/44)x+1.25=5 equation:

(3/44)x+1.25=5

We move all terms to the left:

(3/44)x+1.25-(5)=0


Domain of the equation: 44)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/44)x+1.25-5=0

We add all the numbers together, and all the variables

(+3/44)x-3.75=0

We multiply parentheses

3x^2-3.75=0

a = 3; b = 0; c = -3.75;
Δ = b2-4ac
Δ = 02-4·3·(-3.75)
Δ = 45
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:

$\sqrt{\Delta}=\sqrt{45}=\sqrt{9*5}=\sqrt{9}*\sqrt{5}=3\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3\sqrt{5}}{2*3}=\frac{0-3\sqrt{5}}{6}
=-\frac{3\sqrt{5}}{6}
=-\frac{\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3\sqrt{5}}{2*3}=\frac{0+3\sqrt{5}}{6}
=\frac{3\sqrt{5}}{6}
=\frac{\sqrt{5}}{2}
$