Question

and quadratic equation whose roots are 3 + 2 root 5 and 3-2 root 5​

Answer 1

Sorry I don't know the answer bcuz it is in my book but I hadn't study yet so I can give you steps to form a quadratic equation,

let α and β be the two roots.

Let us assume that the required equation be ax2 + bx + c = 0 (a ≠ 0).

According to the problem, roots of this equation are α and β.

Therefore,

α + β = -

b

a

and αβ =

c

a

.

Now, ax2 + bx + c = 0

⇒ x2 +

b

a

x +

c

a

= 0 (Since, a ≠ 0)

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