Math, asked by Harshdaga3634, 1 year ago

Tge roots of a quadratic equation are equal then 2x^2-kx+1=0 find the value of k

Answers

Answered by Anonymous
0

Given the quadratic equation is:


2 x² - kx + 1 = 0


Comparing it with ax²+bx+c=0:-

we get:


a=2,

b=-k

c=1


We know that if a quadratic equation has real and equal roots then :


b² = 4ac


So: (-k)² = 4*2*1


=k²=8


=k√2*4


=k=2√2


The value of k is 2√2


Hope it helps you.





Answered by Anonymous
0
Hlo mate :-

Solution :-

__________________________________________________________________________________________


:- p (x) = 2 x² - kx + 1 = 0


● Comparing it with ax²+bx+c=0:-

we get:

a=2

b= -k

c=1


As we know that if a quadratic equation has real and equal roots then :


b² = 4ac


So: (-k)² = 4*2*1


=k²=8


=k√2*4


=k=2√2


The value of k is = 2√2

__________________________________________________________________________________________


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