## Consider the two equations below. Explain completely the similarities and differences in how you would solve each e

Question

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## Answers ( )

Answer:Here, the given equations,

and

Similarity:In both equations there is only one variable ( i.e. x)Difference:is an exponential equation while is a polynomial equation.Now, when we solve an exponential equation we take log in both sides of the equation as follows:

( ∵ )

Hence,

the solution of the equationis.While, when we solve a polynomial we find the roots as follows:

By zero product property,

or

If , then

If ,

Then, by quadratic formula,

Hence,

the solutions of the equationare,and.