Answer :
[tex]m^2-65m=0 \\
m(m-65)=0 \\
m=0 \ \lor \ m-65=0 \\
m=0 \ \lor \ m=65 \\
\boxed{m=0 \hbox{ or } m=65}[/tex]
m² - 65m = 0
m² - 65m + 0 = 0
m = -(-65) +/- √((-65)² - 4(1)(0))
2(1)
m = 65 +/- √(4225 - 0)
2
m = 65 +/- √(4225)
2
m = 65 +/- 65
2
m = 32.5 +/- 32.5
m = 32.5 + 32.5 m = 32.5 - 32.5
m = 65 m = 0
m² - 65m + 0 = 0
m = -(-65) +/- √((-65)² - 4(1)(0))
2(1)
m = 65 +/- √(4225 - 0)
2
m = 65 +/- √(4225)
2
m = 65 +/- 65
2
m = 32.5 +/- 32.5
m = 32.5 + 32.5 m = 32.5 - 32.5
m = 65 m = 0