the sum of two numbers is 15 and sum of their reciprocals is 3/10 write the quadratic equation
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Let the number be X
number is (15-X) sum of their reciprocals
=3/10 1/X+1/(15-X)
=3/10(15)/(15X-X2)
=3/10 150
=45X-3X2 3X2-45X+150
=0X2-15X+50
=0(X-10)(X-5)
=0X
10 or 5 Therefore, the number are 10 and 5.
If X=15.
number is (15-X) sum of their reciprocals
=3/10 1/X+1/(15-X)
=3/10(15)/(15X-X2)
=3/10 150
=45X-3X2 3X2-45X+150
=0X2-15X+50
=0(X-10)(X-5)
=0X
10 or 5 Therefore, the number are 10 and 5.
If X=15.
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