Question

if 3x-1/4 -2x+5/3=5/2 then x=​

Answer 1

Step-by-step explanation:

By trial, x = 2 is a root of the equation. Dividing the equation by 5* we get

(³)* + (3)* = 1

Ifx < 2, then (3/5)* > (3/5)²

and (4/5)* > (4/5)² and so on

(3/5)* + (4/5)* > (3/5)² + (4/5)² Hence (1) is not satisfied for any value of x < 2. Similarly, for x > 2, we will always have the inequality (3/5)* + (4/5)* < 1 Thus x = 2 is the only root of the given

= 1

equation. Note that it is immaterial how we found a root, but it is necessary to show that there are no other roots.

Answer 2

Answer:

Ans:

$x = \frac{13}{12}$

Step-by-step explanation:

1. collect like terms

$x - \frac{1}{4} + \frac{5}{3} = \frac{5}{2}$

2. calculate the sum

$x + \frac{17}{12} = \frac{5}{2}$

3. move the constant to the right-hand side and change its sign

$x = \frac{5}{2} - \frac{17}{12}$

4. subtract the fraction

$x = \frac{13}{12}$