2(1/5)x=895

Solution for 2(1/5)x=895 equation:

2(1/5)x=895

We move all terms to the left:

2(1/5)x-(895)=0


Domain of the equation: 5)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2(+1/5)x-895=0

We multiply parentheses

2x^2-895=0

a = 2; b = 0; c = -895;
Δ = b2-4ac
Δ = 02-4·2·(-895)
Δ = 7160
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:

$\sqrt{\Delta}=\sqrt{7160}=\sqrt{4*1790}=\sqrt{4}*\sqrt{1790}=2\sqrt{1790}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1790}}{2*2}=\frac{0-2\sqrt{1790}}{4}
=-\frac{2\sqrt{1790}}{4}
=-\frac{\sqrt{1790}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1790}}{2*2}=\frac{0+2\sqrt{1790}}{4}
=\frac{2\sqrt{1790}}{4}
=\frac{\sqrt{1790}}{2}
$