Question

|4x+3| = |2x-5|Check your solution

Answer 1

Given,

`|4x+3|=|2x-5|`

Removing the absolute value we have four condition,

`-(4x+3)=-(2x-5)\ldots\ldots\text{.}(1)`
`\Rightarrow-2x=8\Rightarrow x=-4`
`-(4x+3)=(2x-5)\Rightarrow x=(1)/(3)\ldots\text{.}(2)`
`(4x+3)=-(2x-5)\Rightarrow x=(1)/(3)\ldots\ldots\text{.}\mathrm{}(3)`
`4x+3=2x-5\Rightarrow x=-4\ldots\ldots(4)`

Thus x can have two values x=-4,1/3.