How do you solve # m^ { 2} + 13m + 22= 0#?

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Answer 1 · 2017-05-27T00:50:21

See a solution process below:

First, factor the quadratic on the left side of the equation as:

#(m + 11)(m + 2) = 0#

Next, solve each term on the left side of the equation for #0#.

Solution 1)

#m + 11 = 0#

#m + 11 - color(red)(11) = 0 - color(red)(11)#

#m + 0 = -11#

#m = -11#

Solution 2)

#m + 2 = 0#

#m + 2 - color(red)(2) = 0 - color(red)(2)#

#m + 0 = -2#

#m = -2#

The solution is: #m = -11# and
#m = -2#