Question

5. The nature of the roots of 2x²-4x-3=0 is
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Answer 1

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Equation, 2x² - 4x + 3 = 0

Nature of Roots of given equation

We Find, Nature of Roots, by Discriminant

B² - 4AC = 0 ----> Roots are equal ,real & rational

B² - 4AC > 0 , and also a perfect square --> Roots are real , distinct & rational

B² - 4AC >0 ,but not a perfect square -----> Roots are real, distinct & irrational

B² - 4AC <0 , ---> Roots are imaginary

B² - 4AC >= 0 ---> Roots are real

Now, Calculate Discriminant,

Here

B = -4

A = 2

C = 3

==> B² - 4AC

Keep All above values

= (-4)² - 4 * 2 * 3

= 16 - 24

= -8 < 0

Discriminant is negative

Hence

Nature of roots of equation, 2x² - 4x + 3 = 0 be imaginary .

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Answer 2

Answer:

It is a imaginary root.

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