find a and b if root 11 - 7 divided by root 11 + 7 is equal to a minus b root 77
pls it is urgent
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Step-by-step explanation:
what about a here?? i think the que is incomplete
Answered by
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Given:
(√11 - 7) / (√11 + 7) = a - b√77
val(a) = ?, val(b) = ?
Solution:
In L.H.S. :
After rationalizing the denominator, we get :
(11 - 14√11 + 49) / (11 - 49)
⇒ L.H.S. = (60 - 14√11) / (-38)
⇒ L.H.S. = 2(30 - 7√11) / 2(-19)
⇒ L.H.S. = -(30 - 7√11) / 19
⇒ L.H.S. = -30 + 7√11 / 19
⇒ L.H.S. = (-30/19) + (7√11/19)
or
⇒ L.H.S. = { (-30/19) + (7√11/19) } ± 0√77 ------------- Equation 1
From Equation 1:
{ (-30/19) + (7√11/19) } ± 0√77 = a - b√77
⇒ a = { (-30/19) + (7√11/19) } , b = 0
**********************END OF SOLUTION***********************
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