Question

find the value of x^5 at x=2?​

Answer 1

Step-by-step explanation:

First, distribute x in parentheses

x(x+5)=2 becomes x^2 + 5x = 2

Then put all numbers to one side

x^2 + 5x -2 = 0

Since this can’t be factored, I would use the quadratic equation or by completing the square. I am going to be using completing the square.

So put the last number back to the other side

x^2 + 5x = 2

Now do (5/2)^2 = 6.25

Add 6.25 to each side

x^2 + 5x + 6.25 = 8.25

Now you can factor it and it becomes

(x+2.5)^2 = 8.25

Square root both sides

x+2.5 = √8.25

√8.25 is about 2.87 and since it is a square root it can be + or -

so x = (+ or - 2.87) - 2.5