What is the nature of the roots for the quadratic equation:2x²-4x+5=0?
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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,
[ Putting values ]
➡ Δ = (-4)² - 4 × 2 × 5
➡ Δ = 4 - 8 × 5
➡ Δ = 4 - 40
➡ Δ = -36
Hence,
- The nature of roots are not real and unequal.
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