Question

Asked Sep 17, 2019

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Solve the equation both algebraically and graphically. (Round graphical solution(s) to two decimal places. Enter your answers as comma-separated lists. If there is no real solution, enter NO REAL SOLUTION.)

(x − 4)^{4} − 80 = 0

Step 1

Solution algebraically:

The algebraic solution of given equation can be evaluated as:

Step 2

Taking the power on the right, it gives us fourth root of 80 on R.H.S. which can be +ve or -ve. So, it gives two real solution and the other two solutions of the equation are imaginary solutions.

Step 3

Graphically the solution can be evaluated by 1st plotting the graph of y = (x-4)4 – 80 and then t...

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