Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers w
2 answers:
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Answer:
A and B
Step-by-step explanation:
we would like to solve the following equation:
to do so isolate -x to the left hand side and change its sign:
simplify addition:
square both sides:
simplify square of the right hand side:
use (a-b)²=a²-2ab+b² to expand the left hand side:
swap the equation:
isolate the right hand side expression to the left hand side and change every sign:
simplify:
rewrite the middle term as 13x-2x:
factor out x:
factor out -2:
group:
by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:
solve for x:
to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore
solve the inequality for x:
since 2 and -13 is less than 5 both solutions are valid for x hence,
and we're done!