Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • If –3 is a root of the quadratic equation  , while the quadratic equation <img alt="x^2 - 4px + k = 0" src="http

If –3 is a root of the quadratic equation  2x^2 + px -15 = 0, while the quadratic equation x^2 - 4px + k = 0 has equal roots, find the value of k.

 

Answers (1)

(- 3) is the root of  2x^2+px-15=0

\Rightarrow 2(-3)^2+p\times (-3)-15=0

\Rightarrow 18-3p-15=0

\Rightarrow -3p+3=0

\Rightarrow p=1

Now x^2-4px+k=0  has equal roots. 

Putting value of p \Rightarrow x^2-4x+k=0

Now for equal roots :

b^2=4ac

\Rightarrow (-4)^2=4\times 1\times k

\Rightarrow 16=4k

\Rightarrow k=4

Posted by

Safeer PP

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE 10th Supplementary Result 2025 LIVE: Class 10th compartment result soon; latest updates

Latest Question