Question

What is the nature of the roots for the quadratic equation:2x²-4x+5=0?​

Answer 1

Given :-

• Quadratic equation : 2x² - 4x + 5 = 0.

To Find :-

• The nature of the roots.

Solution :-

Given that, 2x² - 4x + 5 = 0

On comparing with ax² + bx + c = 0 , We get :

➡ a = 2 , b = -4 , c = 5

As we know that,

${ \large{ \mathfrak{\red{Δ = b {}^{2} - 4ac}}}}$

[ Putting values ]

➡ Δ = (-4)² - 4 × 2 × 5

➡ Δ = 4 - 8 × 5

➡ Δ = 4 - 40

➡ Δ = -36

$\large{ \blue{ \mathfrak{.°. \:Δ < 0 }}}$

Hence,

• The nature of roots are not real and unequal.