Question

If alpha + beta is equals to root 2 and alpha beta is equals to 1 by 3 then find the quadratic polynomial

Answer 1

Answer:

Let the zeroes of the polynomial ах²+bу+с be Alpha and Beta

Then: α+β=by

          αβ=c

According to the question:

α+β=$\sqrt{2}$

αβ=$\frac{1}{\sqrt{3}}$

Polynomial= х²+$\sqrt{2}$y+$\frac{1}{\sqrt{3}}$

Answer 2

Step-by-step explanation:

herehere is the solution given that Alpha is equal to 2 by 3 and b is equal to -1 putting the equation sum of zeros is equal to minus b upon A and alpha + beta gifts one by three e product of zeros is -2 by 9 of the quadratic polynomial will be 9 x square - 3 x minus 2