If alpha and beta are the roots of x square minus 6x+k,find the value of k,such that alpha square +beta square =40
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(alpha +beta)^2= (-b/a)^2
alpha ^2+beta^2+2alpha×beta=(-6/1)^2
=>40+2alpha×beta=36
=> 2alpha×beta=36-40=-4
=>alpha×beta=-4/2
=> c/a= -2
=>k/1=-2
therefore
k=-2
is answer hope it will help to u pls check ur answer quickly
alpha ^2+beta^2+2alpha×beta=(-6/1)^2
=>40+2alpha×beta=36
=> 2alpha×beta=36-40=-4
=>alpha×beta=-4/2
=> c/a= -2
=>k/1=-2
therefore
k=-2
is answer hope it will help to u pls check ur answer quickly
sreeya2002:
Thank you!
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