Question

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

Answer 1

The value of x is - 1 , - 6.25

Explanation:

Given linear equation as :

3
`√(x)` - 2 x = - 5

Rearranging the equation

3
`√(x)` = 2 x - 5

Taking square both side

`(3√(x) )^(2)` = (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 =
`\frac{- b\pm \sqrt{b^(2) - 4* a* c}}{2* a}`

Or, x =
`\frac{- (-29)\pm \sqrt{(-29)^(2) - 4* 4* 25}}{2* 4}`

Or, x =
`(- 29\pm √(841 - 400))/(8)`

Or, x =
`(- 29\pm √(441))/(8)`

Or, x =
`(-29+21)/(8)` ,
`(-29-21)/(8)`

Or, x = - 1 , - 6.25

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

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