Answer:
This equation has no real roots
Step-by-step explanation:
We want to solve
[tex] - 6 {x}^{2} - 586 = 84x - 4[/tex]
We group all terms on the left:
[tex] - 6 {x}^{2} - 84x - 586 + 4 = 0[/tex]
[tex]- 6 {x}^{2} - 84x - 582= 0[/tex]
Divide through by -6
[tex] {x}^{2} + 14x + 97 = 0[/tex]
The discriminant is
[tex] {14}^{2} - 4 \times 1 \times 97 = - 192[/tex]
This means the given equation has no real solution, since the discriminant is less than 0
