Question

The sum of two numbers is 8 while thair product is 15. Find the sum of their reciprocals. help me​

Answer 1

Answer:

the sum of reciprocals is 8/15

Step-by-step explanation:

let one of the no. be =x

and another be =8-x

now, their product=x(8-x) =15

8x-x^2=15

x^2+15-8x=0

x^2-8x+15=0

x^2-5x-3x+15=0

x(x-5)-3(x-5)=0

(x-3)(x-5)=0

so, the no. are zeros of the equation that are

x-5=0

x=5

and, x-3=0

x=3

now, sum of their reciprocals =1/3+1/5=5+3/15=8/15

so the sum of their reciprocals is 8/15

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