Question

If a2+b2 = 177and ab = 54 then find the value of a+b/a-b?

Answer 1

It was my thinking only.... I really dont know what is the answer for this question..but just trying Hope u understand...

Answer 2

$\huge\sf\pink{Answer}$

$\sf\bullet Your \: Answer = \dfrac{\sqrt{285}}{\sqrt{69}}$

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$\huge\sf\blue{Given}$

✭ a² + b² = 117

✭ ab = 54

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$\huge\sf\gray{To \:Find}$

➢ Value of $\sf\dfrac{a+b}{a-b}$

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$\huge\sf\purple{Steps}$

❍ On adding 2ab both sides of a² + b² = 177

➢ a² + b² + 2ab = 177 + 2ab

➢ (a + b)² = 177 + 2 * 54 [ab = 54]

➢ (a + b)² = 177 + 108

➢ (a + b)² = 285

➢ a + b = √285

Again consider - a² + b² = 177, on subtracting 2ab both sides.

➳ a² + b² - 2ab = 177 - 2ab

➳ (a - b)² = 177 - 2 × 54

➳ (a - b)² = 177 - 108

➳ (a - b)² = 69

➳ a - b = √69

So now,

$\dashrightarrow\sf \dfrac{a + b}{a - b } \\ \\ \dashrightarrow\sf\orange {\dfrac{ \sqrt{285} }{ \sqrt{69} }}$

$\rule{170}3$