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Nesterboy [21]
2 years ago
8

If one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

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