Answer:
m = [tex]\frac{1}{2}[/tex] , m = 5
Step-by-step explanation:
assuming you mean
2m² - 11m + 5 = 0
consider the product of the factors of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × 5 = 10 and sum = - 11
the factors are - 10 and - 1
use these factors to split the m- term
2m² - 10m - m + 5 = 0 ( factor the first/second and third/fourth terms )
2m(m - 5) - 1(m - 5) = 0 ← factor out (m - 5) from each term
(m - 5)(2m - 1) = 0 ← in factored form
equate each factor to zero and solve for m
2m - 1 = 0 ⇒ 2m = 1 ⇒ m = [tex]\frac{1}{2}[/tex]
m - 5 = 0 ⇒ m = 5
