Question

For what value(s) of ‘a’, the quadratic equation 30 2 − 6 + 1 = 0 has no real roots?

Answer 1

Question -> For what value(s) of ‘a’, the quadratic equation 3ax² - 6x + 1 = 0 has no real roots?

Solution : here quadratic equation is 3ax² - 6x + 1 = 0,

Discriminant, D = (6)² - 4(3a)(1)

= 36 - 12a

A/c to question,

Quadratic equation has no real roots.

so, D < 0

⇒36 - 12a < 0

⇒12(3 - a) < 0

⇒3 - a < 0

⇒3 < a

Therefore the value of a belongs to (3, ∞)

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