Question

Find a & b if squareroot of 13 - squareroot of 11 are divided by squareroot of 13 + squareroot of 11 and is equal to a - b times squareroot of 143

Answer 1

\[(a-b)\sqrt{143} = \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}+\sqrt{11}}\]

Answer 2

yea

Answer 3

then (a-b)sqr143=24-2sqr143

Answer 4

two unknows, u must have two eqs

Answer 5

thats what im thinking

Answer 6

(a-b)=(24-2sqr143)/sqr143
can't go any further

Answer 7

\[(a-b)\sqrt{143}={{2} \over{(\sqrt{13}-\sqrt{11})^2}}\]

Answer 8

\[a-b = \frac{12-\sqrt{143}}{\sqrt{143}}\]

Answer 9

\[2=(a-b)\sqrt{143}(24-\sqrt{143})\]

Answer 10

yea but there must b smth else to find a and b

Answer 11

yea another relation in a n b

Answer 12

technically there are an infinite number of solutions
pick a value for b then assign appropriate value for a

Answer 13

(a-b) = something so

a = something + b and
b = a - somthing