Question

Determine the values of k and p so that the solution is "All Reals" when solving for y:

Answer 1

Answer:

The value of k is  $\pm 9$ and The value of p is - 23  

Step-by-step explanation:

Given equation as :

81 y - 17  = k² y + 6 + p

The equation has real solution ,

Now for real solution the equation have no solution

∵ The equation has no solution the ,

The coefficient of y must be equal

I.e 81 = k²

Or, k = $\sqrt{81}$

∴   k = $\pm 9$

Again , If the coefficient of y is same then the equation is written as

6 + p = - 17

or, p = - 17 - 6

or, p = - 23

Hence The value of k is  $\pm 9$ and The value of p is - 23   Answer