If $k_{1}, k_{2}, k_{3}$ are real numbers and the equation $k_{1} x^{2} + k_{2} x + k_{3} = 0$ have three roots, then value of $k_{1} + k_{2} + k_{3}$ is

$1$

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

$3$

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

$0$

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

$2$

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

Open in App

Solution

The correct option is C
$0$

$k_{1} x^{2} + k_{2} x + k_{3} = 0$ is a two degree equation if $k_{1} \neq 0$ , then it should have maximum two roots but given question states that it has three roots, that's why the given equation is an identity equation.
Therefore, $k_{1} = 0, k_{2} = 0, k_{3} = 0$ .

Suggest Corrections

Similar questions

If $k_{1}, k_{2}, k_{3}$ are real numbers and the equation $k_{1} x^{2} + k_{2} x + k_{3} = 0$ have three roots, then value of $k_{1} + k_{2} + k_{3}$ is

Q. find the order of diffrential equation y= (k1+k2) tan (x+k3) - k4 e^x + k5 and k1, k2, k3, k4, k5 are arbitary constants

Q. For non-negative real numbers

h_{1}, h_{2}, h_{3}, k_{1}, k_{2}, k_{3},

if the algebraic sum of the perpendiculars drawn from the points

(2, k_{1}),

(3, k_{2}),

(7, k_{3}),

(h_{1}, 4),

(h_{2}, 5),

(h_{3}, - 3)

on a variable line passing through

(2, 1)

is zero, then

Q. For non-negative real numbers

h_{1}, h_{2}, h_{3}, k_{1}, k_{2}, k_{3},

if the algebraic sum of the perpendiculars drawn from the points

(2, k_{1}),

(3, k_{2}),

(7, k_{3}),

(h_{1}, 4),

(h_{2}, 5),

(h_{3}, - 3)

on a variable line passing through

(2, 1)

is zero, then

Join BYJU'S Learning Program

If k1,k2,k3 are real numbers and the equation k1x2+k2x+k3=0 have three roots, then value of k1+k2+k3 is

The correct option is C 0 k1x2+k2x+k3=0 is a two degree equation if k1≠0, then it should have maximum two roots but given question states that it has three roots, that's why the given equation is an identity equation. Therefore, k1=0,k2=0,k3=0.

If $k_{1}, k_{2}, k_{3}$ are real numbers and the equation $k_{1} x^{2} + k_{2} x + k_{3} = 0$ have three roots, then value of $k_{1} + k_{2} + k_{3}$ is