If one root of $x^2+p x+q=0$ is $5-3 i$, then the real values of $p$ and $q$ are

JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

If one root of

x^2+p x+q=0

5-3 i

, then the real values of

p

and

q

are

View answer and explanation

Correct option: B

p=-10, q=34

Option B (

p=-10, q=34

) is correct because if one root is a complex number, the other root is its conjugate, and we can use the sum and product of roots to find p and q.

Practice All Chapter MCQs →

{x^{2n}} - 1 = 0

\frac{1}{x}+\frac{1}{\sqrt{\left(1-x^2\right)}}=\frac{35}{12}

x^7+14 x^5+16 x^3+30 x-560=0

x_1, x_2, x_3, \ldots, x_n

x^n+a x+b=0

\left(x_1-x_2\right)\left(x_1-x_3\right)\left(x_1-x_4\right) \ldots\left(x_1-x_n\right)

P(x)=k x^3+3 x^2-3

Q(x)=2 x^3-5 x+k

(x-4)

k

{\left( {x - 1} \right)^3}

{x^4} + a{x^3} + b{x^2} + cx - 1,