Answer:
[tex]a=-1,\ a=-5[/tex]
[tex]x=-2+i,\ -2-i[/tex]
Step-by-step explanation:
Equations
We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:
[tex]a^2+7a+6=a+1[/tex]
Rearranging
[tex]a^2+6a+5=0[/tex]
Factoring:
[tex](a+1)(a+5)=0[/tex]
There are two solutions:
[tex]a=-1,\ a=-5[/tex]
The second case requires us to find the value of x such that
[tex]3x^2-x+1 =2x^2+5x-4[/tex]
Rearranging
[tex]x^2+4x+5=0[/tex]
This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:
[tex]x=-2+i,\ -2-i[/tex]
