SOLUTION: Write the quadratic equation with a lead coefficient of 1 whose roots are 2+ square root of 5 and 2- the square root of 5.

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Question 67221This question is from textbook Advanced mathematics
: Write the quadratic equation with a lead coefficient of 1 whose roots are 2+ square root of 5 and 2- the square root of 5. This question is from textbook Advanced mathematics

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(x - (2 + sqrt(5))*(x - (2 - sqrt(5))
(x - 2 - sqrt(5))*(x - 2 + sqrt(5))
x^2 - 2x - sqrt(5)x - 2x + 4 + sqrt(5)2 + sqrt(5)x - sqrt(5)2 - 5
x^2 - 4x - 1 = f(x)
graph%28300%2C300%2C-4%2C7%2C-10%2C10%2Cx%5E2+-+4x+-+1%29