Question

if a & b are the zeroes of the quadratic polynomials f (x)=x2-5x+k, such that a-b=1,then find the value of k .

Answer 1

Hey user !!

Here is your answer !!

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↪Here a = 1 , b = -5 ,c = k

↪Sum of zeroes = -b / a = -5 / 1

↪Product of zeroes = c / a = k / 1

↪Now,

↪a - b = 1

↪Squaring both sides

↪(a - b) ^2 = 1 ^2

↪(a+ b)^2 - 4 ab = 1

↪5 ^2 - 4 (K) = 1

↪25 - 4k = 1

↪- 4k = 1 -25

↪- 4k = -24

↪k = 6

Hope it is satisfactory :-)

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