The Number Of Real Roots Of 

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Question

The number of real roots of 

Solution

Correct option is

2

 

 

           

 

   

 

 

    

Thus, the given equation has two real roots.

Testing

SIMILAR QUESTIONS

Q1

If the roots the equation ax2 + bx + c = are real and of opposite sign then the roots of the equation α (x – β)2 + β (x – α)2 = 0 are

Q2

abc are length of sides of an scalene triangle. If equation

           

has real and distinct roots, then the value of λ is given by:

Q3

A quadratic equation with rational coefficients can have

Q4

If the roots of ax2 + bx + c = 0 are in the ratio mn then

Q5

For real x, the expression [(x + m)2 – 4mn]/[2(x – n)] can be have any value except

Q6

If the expression y2 + 2xy + 2x + my – 3 can be resolved into two rational factors, then m must be

Q7

If one root of the equation x2 + px + 12 = 0 is 4, while the equation x2 +px + q = 0 has equal roots, the value of q is

Q8

If x2 + px + 1 is a factor of ax2 + bx + c, then

Q9

If 8, 2 are the roots of x2 + ax + β = 0 and 3, 3 are the roots of x2 + α xb = 0 then the roots of x2 + ax + b = 0 are

Q10

The product of real of the equation  

              is