Answer:
24.9582, 1.0417
Step-by-step explanation:
Let a and b be the pair of numbers in question, if their sum and product are both equal to 26, then:
[tex]a+b=26\\a*b=26\\a=26-b\\(26-b)*b=26\\b^2-26b+26 = 0\\b=\frac{26\pm \sqrt{26^2-(4*1*26)}}{2}\\b_1=1.0417\\b_2=24.9583\\\\a_1 =26-b_1 = 24.9583\\a_2 =26-b_2 = 1.0417\\[/tex]
The numbers are 24.9582, 1.0417.
