Solve equation algebraically 3 root x-2x=-5

Step-by-step explanation:

Given linear equation as :

3 - 2 x = - 5

Rearranging the equation

3 = 2 x - 5

Taking square both side

= (2 x - 5)²

Or, 9 x = 4 x² - 20 x + 25                    [ from (a + b)² = a² + 2ab + b² ]

Or,  4 x² - 20 x - 9 x + 25 = 0

Or, 4 x² - 29 x + 25 = 0      

The equation is in the form of quadratic equation i.e a x² + b x + c = 0      

So, x =

Or, x =

Or, x =

Or, x =

Or, x = ,

Or, x = - 1 , - 6.25

So, The value s of x = - 1 , - 6.25

Hence, The value of x is - 1 , - 6.25 Answer