Warm Up
Decide whether each statement is true or false.
3 is the only solution to .
False. There are two solutions because there are two numbers that can be squared to get 9. Both 3 and –3 are possible solutions.
False. There are two solutions because there are two numbers that can be squared to get 9. Both 3 and –3 are possible solutions.
A solution to is –5.
False. There is no solution to because no real number can be squared to get –25.
False. There is no solution to because no real number can be squared to get –25.
has two solutions.
True. There are two factors, 0 and 7, that could make the product of the expression 0.
True. There are two factors, 0 and 7, that could make the product of the expression 0.
5 and –7 are the solutions to .
False. The product of the two factors is not 0, so we cannot solve it using the zero product property (which gives 5 and –7 as solutions). If we evaluate the expression at those two values, the result will be 0, not 12.
False. The product of the two factors is not 0, so we cannot solve it using the zero product property (which gives 5 and –7 as solutions). If we evaluate the expression at those two values, the result will be 0, not 12.