Let () = 2x^2 + 1 and () = x^2 + 5. find the solution to the equation () = () by sketching the functions.

  x = -2  or  x = 2

Step-by-step explanation:

A graph is attached. The functions intersect where x = ±2.

Step-by-step explanation:

The given expressions are

To find , we just need to replace each expression and create an equation

Now, let's solve for

Rememeber that a square root always has to solutions, one positive and one negative.

Therefore, the solutions of the equation is

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus