Answer:
[tex]x_{1}=2\\x_{2}=-2[/tex]
Step-by-step explanation:
The given expressions are
[tex]()=2x^{2} +1\\()=x^{2} +5[/tex]
To find [tex]()=()[/tex], we just need to replace each expression and create an equation
[tex]2x^{2} +1=x^{2} +5[/tex]
Now, let's solve for [tex]x[/tex]
[tex]2x^{2} -x^{2} =5-1\\x^{2} =4\\x=\sqrt{4}[/tex]
Rememeber that a square root always has to solutions, one positive and one negative.
Therefore, the solutions of the equation is
[tex]x_{1}=2\\x_{2}=-2[/tex]
