Grade 12Algebra
if the roots of the equation x2-ax+b=0 are real and differ by a quantityb less than unity prove that a2-1/4
if the roots of the equation x2-ax+b=0 are real and differ by a quantityb less than unity prove that a2-1/4
1 Answer
vikas askiitian expert
x2 - ax + b = 0
if roots of the eq are (A,B) then
A+B = a , AB = b
A-B = difference of roots = [(A+B)2 - 4AB]1/2
A-B = [ a2 - 4b ]1/2
A-B = b (given)
s0 , b = [ a2 - 4b ]1/2
a2 - b2 - 4b = 0
approve my ans if u like
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