Question

Which expression gives the solutions of -5+2x^3=-6x?

Answer 1

The expression (2x) . (x²+3) = 5 gives the solution and the solutions for the given equation are x = 2.5, x=√2 , x= -√ 2

Explanation:

• The given equation is that
  `-5 +2x^(3)=-6x`.
• From the equation given, it can be determined that it contains x terms and a constant term.

So, bring x terms alone on one side and keep the constant on the other side of the equation. When moving a term from one side of the equation to other side, the sign changes.

Now, the equation becomes
`2x^(3) + 6x = 5`.

To find the solution by solving the x value :

Take the common term outside, that is 2x is common and it taken out as a common factor.

⇒ 2x (x²+3) = 5

⇒ (2x) . (x²+3) = 5

The above expression gives the solution.

Therefore, 2x = 5 and (x²+3) = 5

For 2x = 5,

⇒ x = 5/2

⇒ x = 2.5

For (x²+3) = 5,

⇒ x² = 5-3

⇒ x² = 2

Taking square root on both sides,

⇒ x = ± √2

⇒ x = √2 and x = -√2