Answered

Makahanap ng eksaktong solusyon sa iyong mga problema sa IDNStudy.com. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

The sum of a number and 5 times its resiprocal is 6. Find the numbers.

Sagot :

Janjankagandahaidn
the number is 5 or 1
let x-- be the number
then 1/x be the reciprocal of the number.
then the equation will be-->x+5(1/x)=6
x+5/x=6
x(x+5/x=6)x (to eliminate the x as the denominator of 5)
x^2+5=6x
X^2-6x+5=0
by quadratic equation -b+-(plus and minus) the square root of b^2-4ac all over 2a
= -(-6)+-(plus and minus) the square root of 36-4(1)(5) all over 2
= 6+-(plus and minus) the square root of 36-20 all over 2
= 6+-(plus and minus) the square root of 16 all over 2
= 6+-(plus and minus) 4 all over 2
= 5 or 1 :D