Question

Find all values of a for which the equation has two whole solutions.

1) x^2+ax+15=0
2)x^2+a^2x=12-9x

Answer 1

`\large \gray{ \boxed{{ \colorbox{g} { \tt{answer \: }}}}}`

1. 
   `\tiny\tt \color{gray}a€( - \infty , - 2 √(15) ) \: U \: (2 √(15),+ \infty ), \: 2 \: \: real \: \: solution \\ \tiny \tt \color{gray}a, = (2 √(15) , a_(2)= 2 √(15) ,1 \: \: real \: solution \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \tt \tiny \color{gray}a€( - 2 √(15) ,2 √(15) \: ,2 \: \: imaginary \: solution \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`
2. 
   `\tt \tiny \color{gray}has \: \: 2 \: \: real \: \: solution`

see the attachment

hope it helps