Question

If a and -a are the zeroes of the quadratic polynomial 2x2 – 3(k -4)x -8, then k is​

Answer 1

Answer:

If a and -a are the zeroes of the quadratic polynomial 2x2 – 3(k -4)x -8, then k is

Answer 2

SOLUTION

GIVEN

a and -a are the zeroes of the quadratic polynomial 2x² – 3(k -4)x - 8

TO DETERMINE

The value of a

EVALUATION

Here the given Quadratic polynomial is

2x² – 3(k -4)x - 8

Comparing with the general quadratic polynomial

Ax² + Bx + C we get

A = 2 , B = - 3( k - 4) , C = - 8

Now the given zeroes are a and - a

Sum of the zeroes = - B/A

⇒ a - a = 3(k - 4)/2

⇒ 3(k - 4)/2 = 0

⇒ (k - 4) = 0

⇒ k = 4

FINAL ANSWER

Hence the required value of k = 4

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