﻿ Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax2 + bx +c = 0 : Kaysons Education

# Let a > 0, b > 0 And c > 0. Then Both The Roots Of The Equation ax2 + bx +c = 0

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

Have negative real parts

We have D = b2 – 4ac. If D ≥ 0, then the roots of the equation are given by

As D = b2 – 4ac < b2 (âˆµ a > 0 , c > 0), it follows that the roots of the quadratic equation are negative. In case D < 0, the roots of the equation are given by

which have negative real parts

#### SIMILAR QUESTIONS

Q1

If ax2 + bx + cabc Ïµ R has no real zeros, and if c < 0, then,

Q2

If x is real, then the maximum value of

Q3

If both the roots of the equation x2 – 6ax + 2 – 2a + 9a2 = 0 exceed 3, then

Q5

Let α, β be the roots of the equation x2 – ax + b = 0 and An = αn + βn

Q6

Let f (x) = ax2 + bx + cabc Ïµ R. if f (x) takes real values for real values of x and non – real values for non – real values of x, then.

Q7

If α, β, γ are such that α + β + γ = 2, α2 + β2 + γ2 = 6, α3 + β3 + γ3 = 8, then α4 + β4 + γ4 is

Q8

The condition that the equation  has real roots that are the equal in magnitude but opposite in sign is

Q9

If x is real, and

Q10

Let abc be non – zero real number such that

Then the quadratic equation ax2 + bx + c = 0 has