Question

if a-1/a=15/4 what is value of a+1/a​

Answer 1

Answer:

given that a+(1)/(a)=17/4

(a^2+1)/a=17/4,

cross multiplication gives,

4a^2+4=17a,

4a^2–17a+4=0,

factorisation gives,

4a^2–16a-1a+4=0,

4a(a-4)-1(a-4)=0,

(a-4)(4a-1)=0,

a=4,a=1/4,

substitute a=4 in a-(1)/(a),

4–(1)/(4)=15/4,

therefore a-(1)/(a)=15/4