Question

Solve the equation for all real solutions in simplest form.
-4m^2+2m-11=-5m^2

Answer 1

m is equal to -1 ± 2√3, which is approximately equal to 2.46 and -4.46

Explanation:

-4m² + 2m - 11 = -5m²

m² + 2m - 11 = 0

m² + 2m + 1 = 12

(m + 1)² = 12

m + 1 = ± √12

m = -1 ± 2√3