Question

For what values of p does the equation px = 10 have a solution −5; 1; 20?

Answer 1

The values of p for which the equation px = 10 have a solution −5; 1; 20 is -2, 10,
`(1)/(2)`

Solution:

Given, equation is px = 10.

We have to find the values of p for which solutions of given equations becomes -5, 1, 20.

We just need to substitute -5, 1, 20 in given equation as x, to values of p.

Now, For -5 ⇒ p(-5) = 10 ⇒ -5p = 10 ⇒ p = -2

For 1 ⇒ p(1) = 10 ⇒ p = 10

For 20 ⇒ p(20) = 10 ⇒ 20p = 10 ⇒ p =
`(1)/(2)`

Hence, the values of p are -2, 10,
`(1)/(2)` for the solutions -5, 1, 20 respectively.