Math, asked by amitrajput1047, 1 year ago

Prove that the roots of a quadratic polynomial x2+kx+k cannot be both positive

Answers

Answered by hharasudhan539
1

Answer:


Step-by-step explanation:

since you didnt reposted question am explaining here

x2+kx+k,k≠0

roots or zeroes=(-k+√(k∧2-4k))/2,(-k-√(k∧2-4k))/2

since k≠0 ,roots can't be zero

the nature of root depends on √(k∧2-4k )

k<0 then √(k∧2-4k)>k so roots will be one  positive and one negative

if k>0 then √(k∧2-4k) < k both roots will be  negative

so both roots can't be positive



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