You visited us 1 times! Enjoying our articles? Unlock Full Access!

Discriminant

ax2+bx+c=0, w...

Question

$a x^{2} + b x + c = 0$ , where a, b,c are real, has real roots if

a, b, c are integers

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

b^{2} > 3 a c

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

a c > 0

and b is zero

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

c = 0

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

Open in App

Solution

The correct option is C $c = 0$
$a x^{2} + b x + c = 0$
for real roots $b^{2} - 4 a c \geq 0$
If $c = 0,$ then $b^{2} \geq 0$ . This is always true.

Suggest Corrections

Similar questions

$a x^{2}$ + bx + c = 0, where a, b, c are real, has real roots if:

a^{2} + b^{2} + c^{2} < 0

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

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

a, b, c

\neq

a x^{2}

a x^{2}

a + b + c > 0

a < 0 < b < c

a (x - b) (x - c) + b (x - c) (x - a) + c (x - a) (x - b) = 0

A x^{2} + B x + K = 0

B^{2} - 4 A K > 0

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

a > 0, c < 0

b \in R

f (x) = 0

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

a > 0, b \in R, b \neq 0

f (x) = 0

c

Join BYJU'S Learning Program