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Answer:
See the solution below
Step-by-step explanation:
Find two numbers whose sum is 8 and whose product is 17. Show all steps.
Given data
Let the first number be x
and the second number be y
so
x+y= 8---------1
x*y= 17---------2
from 1
x= 8-y
put the value of x in 2
(8-y)*y= 17
8y-y^2= 17
collect like terms
y^2-8y+17= 0
Let us check the discriminant
y= √b^2-4ac
y= √-8^2-4*1*17
y= √64-4*1*17
y= √64-68
y= √-4
Hence the problem has no real solution because the discriminant is negative