On weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with
1 answer:
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Double angle (or half angle, depending how you look at it) identities:
So we have
Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know and
, so it's also the case that
.
Also, the reason we have equality in the last step can be explained like so:
(not unlike the process used to complete the square)