Use your graphing calculator to solve the equation graphically for all real solutions

Question

Use your graphing calculator to solve the equation graphically for all real solutions

x^

Solutions x = ???

Make sure your answers are accurate to at least two decimals

Answer 1

By rational zeros theorem possible zeros: ±1, ±3.

We check 3 using synthetic division:

3 I 1 -5 5 3

3 -6 -3

1 -2 -1 0

We set 0 quotient: x² - 2x - 1 = 0; x = 1 ± √2

So, solution set of this equation: {1 - √2, 1 + √2, 3}