Form a quadratic equation whose roots are
(i) 3, 4 (ii) 3 + √7, 3 – √7 (iii)

Question

Form a quadratic equation whose roots are (i) 3, 4 (ii) 3 + √7 , 3 – √7 (iii)

Philoid · Accepted Answer

i: 3 and 4

Let

∴

ii: 3 + √7 and 3 – √7

Let α=3 + √7 and β=3–√7

∴ α + β=3 + √7 + 3–√7=6 and αβ=(3 + √7)(3–√7)

=9–7=2

∴

iii:

⇒

Form a quadratic equation whose roots are(i) 3, 4 (ii) 3 + √7, 3 – √7 (iii)