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

Question

dumbcow · Answer

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

angela210793 · Answer

yea

angela210793 · Answer

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

anonymous · Answer

two unknows, u must have two eqs

dumbcow · Answer

thats what im thinking

angela210793 · Answer

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

anonymous · Answer

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

dumbcow · Answer

$$a-b = \frac{12-\sqrt{143}}{\sqrt{143}}$$

anonymous · Answer

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

angela210793 · Answer

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

anonymous · Answer

yea another relation in a n b

dumbcow · Answer

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

anonymous · Answer

(a-b) = something so

a = something + b and
b = a - somthing