asked 44.5k views
0 votes
Find the value of m if x + m is a factor of x^2 - 5mx + 3​

asked
User Amandine
by
8.3k points

1 Answer

4 votes

Answer:

+or- sqrt(3/4)

Explanation:

If x + m is a factor, that means that when x = -m the equation equals 0. Sub -m into x

0 = (-m)^2 - 5m(-m) + 3

0 = m^2 - 5m^2 + 3

0 = -4m^2 + 3

Factorise

0 = -4(m^2 - 3/4)

0 = -4(m + sqrt(3/4))(m - sqrt(3/4))

:. m = +or- sqrt(3/4)

answered
User Jmelhus
by
8.6k points

Related questions

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.