Question

the quadratic equation choose one root is 3+√5 a) x^2+6x+4 b) x^2-6x+4. c) x^2-6x-4​

Answer 1

Answer:

we know that quadratic equation has 2 roots.

if one root is 3+✓5 then another root is 3-✓5

3+✓5+3-✓5=6-sum of roots

product of roots=3+✓5×3-✓5=3^2-(✓5)^2

9-5=4

we know that finding quadratic equation by sum and product of roots

=x^2-x(sum)+product

=x^2-6x+4