Question

find the positive root of the equation
(5-2 square root 2)x^2-(4+2 square root 2)x-2=0

Answer 1

Answer:

Positive Root of the equation is 1.14833 (approximately).

Step-by-step explanation:

$(5-2\sqrt2) x^2-(4+2\sqrt2) x-2=0$

Using quadratic formula,

$x=\frac{2}{5}+/- \frac{\sqrt14}{5}$

Since only positive value is needed,

x=1.14833 (approx.)