Question

the quadratic equations 2x²-√5x+1=0 has​

Answer 1

$\bf\huge\underline{Solution}$

Given equation is 2x² - $\sqrt{5x}$ + 1 = 0

On comparing with ax² + bx + c = 0, we get a = 2, b = - $\sqrt{5}$ and c = 1

∴ D = b² - 4ac = ( $\sqrt{-5}$ )² - 4 × (2) × (1) ⠀⠀ ⠀⠀ = 5 - 8 = -3 < 0

Since, discriminant is negetive, therefore quadratic equation 2x² - $\sqrt{5x}$ + 1 = 0 has no real roots.