(4/7)x=1.6

Solution for (4/7)x=1.6 equation:

(4/7)x=1.6

We move all terms to the left:

(4/7)x-(1.6)=0


Domain of the equation: 7)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+4/7)x-(1.6)=0

We add all the numbers together, and all the variables

(+4/7)x-1.6=0

We multiply parentheses

4x^2-1.6=0

a = 4; b = 0; c = -1.6;
Δ = b2-4ac
Δ = 02-4·4·(-1.6)
Δ = 25.6
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{25.6}}{2*4}=\frac{0-\sqrt{25.6}}{8}
=-\frac{\sqrt{}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{25.6}}{2*4}=\frac{0+\sqrt{25.6}}{8}
=\frac{\sqrt{}}{8}
$