Can the quadratic polynomial x2 + kx + k have equal zeroes for some odd integer k > 1?

Solution

A Quadratic Equation will have equal roots if it satisfies the condition given below:

b² – 4ac = 0

Given equation is

x² + kx + k = 0

a = 1, b = k, x = k

On substituting in the equation we get,

k² – 4 ( 1 ) ( k ) = 0

k² – 4k = 0

k ( k – 4 ) = 0

k = 0 , k = 4

But by the given data we get to know that k is greater than 1.

Hence the value of k is 4 if the equation has common roots.

Answer

Hence if the value of k = 4, then the equation ( x² + kx + k ) will have equal roots.

Was this answer helpful?

 
   

0 (0)

(0)
(0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question