Question

m2-11=0 solve by factorisation

Answer 1

Hi ,

m² - 11 = 0

m² - ( √11 )² = 0

( m + √11 )( m - √11 ) = 0

Therefore ,

m + √11 = 0 or m - √11 = 0

m = - √11 or m = √11

I hope this helps you.

: )

Answer 2

$\large\red{\text\:Answer}$

$- \sqrt{11} \: and \: \sqrt{11}$

are the roots of the given quadratic equation.

$\large\boxed{\pink{\text\:Explanation}}$

${m}^{2} - 11 = 0 \\ \\ \implies \: {m}^{2} - ( { \sqrt{11}) }^{2} = 0 \\ \\ \implies \: (m + \sqrt{11} ) \: (m - \sqrt{11}) = 0 \\ \\ \implies \: m + \sqrt{11} = 0 \: \: or \: \: m - \sqrt{11} = 0 \\ \\ \implies \boxed{m = - \sqrt{11} } \: \: or \: \: \boxed{m = \sqrt{11}}$