This equation is in quadratic form. Use factoring to find all zeros of ... (in description)

Question

This equation is in quadratic form. Use factoring to find all zeros of x^4 -10x-11=0 
Don't forget +/-. Simplify radicals. Enter the zero separated by commas. Enter exact values, not decimal approximations. Use i for imaginary solutions.

Answer 1

I think you mean x⁴ - 10x² - 11 = 0

 

Let u = x².  Then the equation can be written as u² - 10u - 11 = 0

 

So, (u-11)(u+1) = 0

 

     u = 11 or u = -1

 

Since u = x², we have x² = 11 or x² = -1

 

                                x = ±√11, ±i