Question

find the quadratic equations whose roots are 3 + or - √(2) and whose leading coefficient is 2

Answer 1

When values are roots, it means that (x-root1)(x-root2) = 0

Where (x-root1)(x-root2) = quadratic equation.

When there is a leading coefficient a, the quadratic equation changes to:

a(x-root1)(x-root2) = f(x)

Now looking at this problem:


f(x) = 2(x - (3 - sqrt2))(x - (3 + sqrt2))

Multiply that out to get the answer