When the sum of 582 and four times a positive number is subtracted from the square of the number, the result is 90. Find the number

Question

please help

Answer 1

P **2 - (582+4P) = 90

 

P**2  - 4P - 672 = 0

 

Solve for P

 

Answer 2

You can set up the following equation:

 

x²-582+4x=90

 

x²+4x=90+582

x²+4x=672

x²+4x-672=0

 

Can you solve this quadratic equation?

 

You should get 2 answers for x: 

 

x=-28 and x=24