If $α$ and $β$ are the zeroes of the quadratic polynomial $a x^{2} + b x + c$ , then $α + β = \frac{- b}{a}$ & $α β = \frac{c}{a}$ .

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
If $α$ and $β$ are the zeroes of the quadratic polynomial, then
$a α^{2} + b α + c =$ 0 and
$a β^{2} + b β + c =$ 0
or, $a α^{2} + b α$ $-$ $a β^{2} - b β =$ 0
Then, $α + β = \frac{- b}{a}$
and $α β = \frac{c}{a b}$

Suggest Corrections

Similar questions

p (x) = a x^{2} + b x + c, α + β = 2

α β = - 8

α, β

p (x)

∴

a, b

c

α, β

a x^{2} + b x - c = 0

\frac{α^{2}}{β} + \frac{β^{2}}{α} =

α

β

f (x) = a x^{2} + b x + c

\frac{1}{α^{2}} + \frac{1}{β^{2}}

Join BYJU'S Learning Program