Question

The product of roots of 

Solution

Correct option is

– 189

Cubing (1) we obtain

              8 + x + 8 – x + 3 (64 – x2)1/3 = 1

⇒          (64 – x2)1/3 = – 5 ⇒ 64 – x2 = – 125

⇒           x2 = 189 ⇒ x = 

SIMILAR QUESTIONS

Q1

Let abc be non – zero real number such that

               

         

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

Q3

The equation 3x–1 + 5x–1 = 34 has

Q4

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

                                            

Q5

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

Q6

If a ≤ 0, the number of real roots of

                                                           

Q7

 

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

then the equation

                  

Q8

If three distinct real number ab and c satisfy

                                         

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

Q9

The number of integral roots of the equation 

is

Q10

Let S denote the set of all values of the parameter a for which

                        

has no solution, then S equals