Question

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Answer 1

See the solution below

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