Question

solve the following quarditic equations by factorisation
a+1/2a-3 = a+5/a+3​

Answer 1

Answer:

a=3 or a=6

Step-by-step explanation:

a+1/2a-3 = a+ 5/a+3

by cross multiplying

(a+1)(a+3) = (2a-3)(a+5)

a²+3a+a+3 = 2a²+10a-3a-15

2a²-a²+7a-4a-15-3 = 0

a²+3a-18 = 0

a²+6a-3a-18 =0

a(a+6)-3(a+6) = 0

(a-3)(a+6) = 0

a=3 or a=6