Question

1/2x^2+3=y

y=3^x

The answer is (1.194,3.713)
How do you get this answer without using a calculator and without using calculus is it possible if so please help!!

Answer 1

To solve the system of equations, we can use substitution. There is no algebraic solution to the equation, so we need to use a calculator or graphing software to approximate the solution.

Step-by-step explanation:

To solve the system of equations:

1/2x^2+3=y
y=3^x

We can use substitution. We set the two equations equal to each other and solve for x.

1/2x^2+3=3^x

Rearranging the equation:

1/2x^2-3^x+3=0

Unfortunately, there is no algebraic solution to this equation that does not involve calculus or a calculator. Therefore, we need to use a calculator or a graphing software to approximate the solution. The approximate solution to the equations is (1.194,3.713).