sole for x

Question

sqrt(2x^2+5)=2

Answer 1

sqrt(2x^2+5)=2

Squaring on both sides

(2x^2+5)=4

2x^2=-1

Solutions are imaginary numbers.

Therefore no solution

Comments

The equation is √(2x² + 5) = 4.

Squaring on bboth sides we get,

2x² + 5 = 4

2x² = 4 - 5

2x² = -1

x² = -1/2

x = √(-1/2)

x = ± i / √2

x = ± 0.70711i

The solution is x = ± 0.70711i.