Pls provide no links!!! Q Find the values of a and b if 7+353+5-7-353-5=a+b5 - Maths - Number Systems

Question

Pls provide no links!!!
Q Find the values of a and b if
7 + 3 5 3 + 5 - 7 - 3 5 3 - 5 = a + b 5

Lovina Kansal · Accepted Answer

Dear student
7+353+5-7-353-5=a+b5⇒7+353-5-7-353+53+53-5=a+b5⇒21-75+95-15-21-75+95+1532-52=a+b5    As x2-y2=(x-y)(x+y)⇒459-5=a+b5⇒454=a+b5⇒5=a+b5On comparing, we geta=0 and b=1
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Pls provide no links!!! Q. Find the values of a and b if 7 + 3 5 3 + 5 - 7 - 3 5 3 - 5 = a + b 5

Pls provide no links!!!
Q. Find the values of a and b if
$\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}} = a + b \sqrt{5}$