Question

please give me the answers ​

Answer 1

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7. (i)

$185 \times 185 - 15 \times 15$

This can be expressed as

${(185)}^{2} - {(15)}^{2}$

Using identity

${x}^{2} - {y}^{2} = (x + y)(x - y)$

$(185 + 15)(185 - 15)$

$200 \times 170$

$34000$

(ii)

Using the same method,

$325 \times 325 - 25 \times 25$

${(325)}^{2} - {(25)}^{2}$

$(325 + 25)(325 - 25)$

$350 \times 300$

$105000$

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8.

$x + \frac{1}{x} = 5$

$\frac{ {x}^{2} + 1}{x} = 5$

${x}^{2} + 1 = 5x$

${x}^{2} - 5x + 1 = 0$

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