ashokbarua69 ashokbarua69
  • 07-08-2020
  • Mathematics
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The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are

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LazyBun
LazyBun LazyBun
  • 07-08-2020
Answer: x = a - b and x = -a - b

Explanation:

x^2/ a^2 - b^2 = a+b/a-b
x^2/(a-b)(a+b) = a+b/a-b
x^2 = a+b/a-b x (a-b)(a+b)
x ^2 = (a+b)^2
x^2 - (a+b)^2 = 0
(x - a + b)(x + a + b) = 0

Set x - a + b = 0
x = a - b

Set x + a + b = 0
x = - a - b

Hope this helps!

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