Question

Find quadratic polynomial when alpha + beta = 1/4 and Alpha * Beta = -1​

Answer 1

Step-by-step explanation:

Hello!! Here is the explanation...

Let's take the roots as x and y..

Given the products of x and y is -1

And sum of roots is 1÷4.

As the products of roots=c÷a

and sum is -b÷a

Let's take a as 1.

so,-b=1÷4

b=-1÷4

Similarly -1=c÷1

-1=c

So combining both we get

X^2-1÷4*x-1

So the required answer is x^2-(1÷4)x-1

Hope it helped ya..