Question

If one zero of the polynomial 4x 2 -8kx-9 is the negative of the other , find the value of k and x ?

Answer 1

★ QUADRATIC RESOLUTION ★

UTILIZING THE GIVEN DATA , WE'LL OBTAIN THE RESPECTIVE VALUES OF " K " AND TJE UNKNOWN IN QUADRATIC " x "

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Answer 2

Let the first root be ' -p '
Then second root is " p "

Sum of roots
= - b / a
= -(-8k) / 4
=2k

According to question, we get sum of roots =p +(-p) = 0

2k =0, k =0.

=> 4x² -8kx-9 =0

=> 4x²-8*0-9=0

=> 4x²-9=0

=> 4x^2 =9

=> x ^ 2 =9/4

=> x =√9/4

=> x= ±3/2