Question

Find the value of r in :-. 17=(9+r)(9-r)​

Answer 1

Answer:

17=(9+r)(9-r)

17=(9)²-(r)²

17=81-r²

r²=81-17

r²=64

r=under root64

r=8 cm

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Answer 2

Step-by-step explanation:

$17 = (9 + r)(9 - r) \\ using \: identity \\ (a + b)(a - b) = a {}^{2} - b {}^{2} \\ 17 = (9) {}^{2} -( r) {}^{2} \\17 = 81 - r {}^{2} \\ r {}^{2} = 81 - 17 \\ r {}^{2} = 64 \\ r = \sqrt{64} \\ r = 8$

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