Question

if alpha and beta are the zeroes of the polynomial f(x)=x Square -5x+k such that alpha -beta=1 , find k

Answer 1

hey!!! your answer is here.
a+b=-b/a =-(5)/1=5
ab=c/a=k/1
Given that,a-b=1
a+b=5
a-b=1
by elimination method,
multiply by (1) equation by 1 and multiply by (2) equation by 1.
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2b=4
b=4/2
b=2
we can put value of b in another equation.
a-b=1
a-2=1
a=1+2
a=3
substitute the
ab=c/a
3*2=k/a
6=k/1
k=6.
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