SOLUTION: Let the roots of the equation x2 -4x+2=0 be alpha and beta. find the quadratic equation whose roots are apha-2 and beta-2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let the roots of the equation x2 -4x+2=0 be alpha and beta. find the quadratic equation whose roots are apha-2 and beta-2       Log On


   

Question 852907: Let the roots of the equation x2 -4x+2=0 be alpha and beta. find the quadratic equation whose roots are apha-2 and beta-2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-4x%2B2=0

beta=2%2Bsqrt%282%29

alpha-2=2-sqrt%282%29-2=-sqrt%282%29 and beta-2=2%2Bsqrt%282%29-2=sqrt%282%29

The requested quadratic equation with roots alpha-2 and beta-2 will be %28x-%28-sqrt%282%29%29%29%28x-sqrt%282%29%29=0
highlight%28%28x%2Bsqrt%282%29%29%28x-sqrt%282%29%29=0%29
OR More Compactly,
highlight%28x%5E2-2=0%29