Question

-5 / 3 + 4k / = -115

Answer 1

`(11)/(2) ,-(13)/(2)`

Explanation:

we know That l
`x` l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -
`(110)/(-20)` =
`(11)/(2)`

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -
`(130)/(20)` = -
`(13)/(2)`