Question

Given that a=5,b=-1, find the value of 25(a² - b²). plzzzzzzz help me!! i have exam right now!!​

Answer 1

Answer:

a=5+2√6, b=1/a=1/(5+2√6)

a²+b²=a²+1/a²

=(5+2√6)²+1/(5+2√6)²

=(25+24+10√2)+1(5-2√6)²/(5+2√6)²(5-2√6)²

=(49+10√2)+(5-2√6)²/(5²-2√6²)

=(49+10√2)+(25+24-10√2)/(25-24)

=(49+10√2)+(49-10√2)/1

=49+10√2+49-10√2

=98

Step-by-step explanation: