Question

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

Answer 1

Answer:

The value of x is - 1 , - 6.25

Step-by-step explanation:

Given linear equation as :

3$\sqrt{x}$ - 2 x = - 5

Rearranging the equation

3$\sqrt{x}$ = 2 x - 5

Taking square both side

$(3\sqrt{x} )^{2}$ = (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 = $\frac{- b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}$

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

Or, x = $\frac{- 29\pm \sqrt{841 - 400}}{8}$

Or, x = $\frac{- 29\pm \sqrt{441}}{8}$

Or, x = $\frac{-29+21}{8}$ , $\frac{-29-21}{8}$

Or, x = - 1 , - 6.25

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

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