Question

Find the quadratic equation whose solution set is (3+ root5) and (3- root5)

Answer 1

Answer:

The quadratic equation you are looking for is $x^{2} - 6x + 4$.

Step-by-step explanation:

A quadratic equation can be expressed in f(x) as:

$x^{2}$ - (Sum of the roots)x + (Product of the roots)

⇒  $x^{2}$ - (3 + √5 + 3 - √5)x + (3 + √5)(3 - √5)

⇒  $x^{2}$ - (6)x + (9 - 5)

⇒ $x^{2}$ - 6x + 4. This is the required equation