MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Roots of Quadratic Equation

How many root...

Question

How many roots do. the following equations possess?
For what values of a does the equation $x^{2}$ + ax + 2 = 0 possess three roots?

Open in App

Solution

We know that a quadratic equation can have only two roots.
Hence there exists $n o$ value of $a$ , for which the given equation posses three roots.

Suggest Corrections

thumbs-up

0

Similar questions

Q. How many roots does the equation

x^{3} + a x + 2 = 0

possess depending on a?

Q.
For what values of a does the equation | ln x| - ax = 0 possess two roots?

Q. For what values of

a

does the equation

x^{2} - (2^{a} - 1) x - 3 (4^{a - 1} 2^{a - 2}) = 0

possess real roots?

Q. How many roots does the following equation possess

3^{| x |} {| 2 - | x | |} = 1 ?

Q. For what values of

a

does the equation

x^{2} + 2 a \sqrt{a^{2} - 3} x + 4 = 0

possess equal roots?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Roots of Quadratic Equation

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon