Question

The number of integral roots of the equation 

is

Solution

Correct option is

2

Put x4 = y and write

    y + 20 = (22 – y)2

⇒        y = 19, 29

But y = 29 is not possible and x4 = y = 16

⇒        x = ± 2 as x is an integer.

SIMILAR QUESTIONS

Q1

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

Q2

Let abc be non – zero real number such that

               

         

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

Q4

The equation 3x–1 + 5x–1 = 34 has

Q5

If the harmonic mean between roots of   is 4 then b equals

                                            

Q6

In a triangle PQRR = π/4. If tan (P/3) and tan (Q/3) are the roots of the equation ax 2 + bx + c = 0, then

Q7

If a ≤ 0, the number of real roots of

                                                           

Q8

 

Let (a1a2a3a4a5) denote a rearrangement of (3, – 5, 7 4, – 9),

then the equation

                  

Q9

If three distinct real number ab and c satisfy

                                         

Where p Ïµ R, then value of b c + ca + a b is

Q10

The product of roots of