The expression (2x) . (x²+3) = 5 gives the solution and the solutions for the given equation are x = 2.5, x=√2 , x= -√ 2
Step-by-step explanation:
- The given equation is that [tex]-5 +2x^{3}=-6x[/tex].
- 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 [tex]2x^{3} + 6x = 5[/tex].
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
