Question

If the one root of the quadratic equation is 2 + √5. Find the quadratic equation. Explain step by step

Answer 1

Answer:

given one root is 2+√5 the conjugate of 2+√5 is 2-√5

Step-by-step explanation:

so A+B=2+√5+2-√5

=4

AB=(2+√5)(2-√5)

=-1

so the required quadratic equation is

X^2-4X-1=0