SOLUTION: How to find the quadratic equation of the following riots: {4, square root of 3}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How to find the quadratic equation of the following riots: {4, square root of 3}       Log On


   

Question 1066974: How to find the quadratic equation of the following riots: {4, square root of 3}
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
4 + sqrt (3)
4-sqrt (3) are the roots, for they come in pairs that are conjugates.
x=4 +/- sqrt (3)
x-4= +/- sqrt (3); square both sides
x^2-8x+16=3
x^2-8x+13=0
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-8x%2B13%29