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

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Solution

The correct option is A
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, $k_{1} = 0, k_{2} = 0, k_{3} = 0$ .

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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

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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 A 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

The correct option is A
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, $k_{1} = 0, k_{2} = 0, k_{3} = 0$ .