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[tex] {p}^{2} - {q}^{2} = ( p - q)(p + q) \\ \\ = 2(p + q) \\ \\ = \frac{7}{p + q} \\ \\ = \frac{7}{2} [/tex]
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The value of p+q is 7/2
Difference of two squares
Given the difference of two square
p^2 - q^2 = 7
Using the formula for finding the p+q
(p+q)(p-q) = 7
Given that p-q = 2
Substitute into the formula
2(p+q) = 7
p+q = 7/2
Hence the value of p+q is 7/2
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