Answer:
( from Quadratic Formula)
𝑥=23/2±Sqrt (341) / 2 You can do the rest
NO! Don't do that @ElectricPavlov!
\((a-1)(b-1)=ab-(a+b)+1\)
The product of the roots is 47/1=47, and the sum of the roots is 23/1=23. So the answer is 47-23+1=25.
From the equation x^2-23x+47=0 we apply the quadratic formula:
23±sqrt(529-188)/2
=2±sqrt(341)/2
The value of a and b are: 2+sqrt(341)/2 and 2-sqrt(341)/2, you should be able to take it from here.