Find the quadratic polynomial whose zeros are √2+3 &√2-3

Open in App

Solution

Let
alpha= √2+3 and Bita=√2-3
now
its a general equation for second degree polynomial

x^2-(alpha+bita)+alpha. bita

=x^2-(√2+3+√2-3)+(√2+3).(√2-3)

=x^2-2√2x+(√2)^2-(3)^2

=x^2-2√2x+2-9

=x^2-2√2x-7

LIke if satisfied

Suggest Corrections

130

Similar questions

3

2

(5 - 3 \sqrt{2})

(5 + 3 \sqrt{2})

Find a quadratic polynomial,the sum and product of whose zeros are $- 3$ & $2$

\frac{- 3}{2 \sqrt{5}}, - \frac{1}{2}

Join BYJU'S Learning Program