X-2/5x=450

Solution for X-2/5x=450 equation:

X-2/5X=450

We move all terms to the left:

X-2/5X-(450)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We multiply all the terms by the denominator


X*5X-450*5X-2=0

Wy multiply elements

5X^2-2250X-2=0

a = 5; b = -2250; c = -2;
Δ = b2-4ac
Δ = -22502-4·5·(-2)
Δ = 5062540
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:

$\sqrt{\Delta}=\sqrt{5062540}=\sqrt{4*1265635}=\sqrt{4}*\sqrt{1265635}=2\sqrt{1265635}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2250)-2\sqrt{1265635}}{2*5}=\frac{2250-2\sqrt{1265635}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2250)+2\sqrt{1265635}}{2*5}=\frac{2250+2\sqrt{1265635}}{10}
$