Question

4. Discuss the nature of roots of the given quadratic equation: 4x² +7x+2=0​

Answer 1

Answer:

We know that D = b^2 - 4 * a * c

= (4root3)^2 - 4 * 4 * 3

= 16 * 3 - 48

= 48 - 48

= 0

So, given quadratic equation has equal real roots.

Answer 2

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Given quadratic equation :-

4x² + 7x + 2 = 0

On comparing this equation with the general form i.e,

ax² + bx + c = 0

We get the values as,

a = 4, b = 7, c = 2

Discriminant, D = b² - 4ac

Δ = 7² - 4 (4)(2)

Δ = 49 - 32

Δ = 17

•°• the roots of the quadratic equation 4x² + 7x + 2 = 0 are real and unequal.

Note:-

Discriminant is denoted by Δ