A+b=5 ab=3 then what is the value of a-b?
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EXPLANATION.
⇒ a + b = 5. - - - - - (1).
⇒ ab = 3. - - - - - (2).
As we know that,
Formula of :
⇒ (x - y)² = x² + y² - 2xy.
⇒ (x² + y²) = (x + y)² - 2xy.
Using this formula in the equation, we get.
⇒ (a - b)² = a² + b² - 2ab.
⇒ (a - b)² = (a + b)² - 2ab - 2ab.
⇒ (a - b)² = (a + b)² - 4ab.
Put the values in the equation, we get.
⇒ (a - b)² = (5)² - 4(3).
⇒ (a - b)² = 25 - 12.
⇒ (a - b)² = 13.
⇒ (a - b) = √13.
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