If one zero of the quadratic polynomial g(x) = (k + 1)x^2– 5x + 5 is multiplicative
Inverse of the other, then find the zeroes of kx^2– 3kx + 9.
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Answer:
3/2, 3/2
Step-by-step explanation:
given polynomial= g(x)..........(1)
since one zero is multiplicative inverse of other.
let alfa and beta are zeroes.
=> alfa× beta= 1
=> 5/ (k+1)= 1 => k+1= 5 => k = 4
again
putting the value of k in kx²-3kx+9
=> 4x²-12x+9
= 4x²-6x-6x+9
= 2x ( 2x-3) - 3( 2x-3)
=( 2x-3) ( 2x-3)
thus x= 3/2
both zeroes are equal= 3/2
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