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Kobotan [32]
3 years ago
6

Solve this problem. What is x?

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

a^2 + b^2 = c^2

a^2 = 6^2 + √117^2

a^2 + 36 = 117

a^2 = 117 - 36

a^2 = 81

a = √81

a = 9

x = 9

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anyanavicka [17]

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x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

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From the question, this difference is 169.

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