the sum of the square of the zeros of the polynomial 6x square + X + kis 25 upon 36 find the value of k
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6x²+x+k =0
let the zeroes are a&b
so
a² + b² = 25/36. (given)
a+b = -1/6. (by quadratic)
(a+b)² = a²+b²+2ab
1/36 = 25/36 + 2ab
________________
2ab = -24/36
_______________
ab = -1/3
also k = ab
____________
k = -1/3
hope it helps you
@di
let the zeroes are a&b
so
a² + b² = 25/36. (given)
a+b = -1/6. (by quadratic)
(a+b)² = a²+b²+2ab
1/36 = 25/36 + 2ab
________________
2ab = -24/36
_______________
ab = -1/3
also k = ab
____________
k = -1/3
hope it helps you
@di
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