Question

d) Form a quadratic equation whose one root is 5 and product of the roots is -2 V5.​

Answer 1

Answer:

One root of the equation is 2+

5

. So, the next root will be 2−

5

∴ x=2+

5

and x=2−

5

∴ (x−(2+

5

))(x−(2−

5

))=0

∴ (x

2

+(4−5)−2x−

5

x−2x+

5

x)=0

∴ x

2

−4x−1=0 is the required quadratic equation.