Solve the equation below. Indicate which solutions, if any, are extraneous. √ x+5 = x+3
1 answer:
9514 1404 393
Answer:
x = -1
Step-by-step explanation:
A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.
__
Squaring both sides gives ...
x +5 = (x +3)² = x² +6x +9
Putting this in standard form, we have ...
x² +5x +4 = 0
(x +1)(x +4) = 0 . . . . . factor
x = -1 or -4 . . . . . . . . values of x that make the factors zero
__
Since we require the root to be non-negative, we must have ...
x +3 ≥ 0
x ≥ -3
The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.
You might be interested in
Answer:
Option C
Step-by-step explanation:
Note that the relation describing the set of ordered pairs does not change at a costing rate
Therefore the relationship is not linear.
However, the exchange rate increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic
Note that the following ordered pairs belong to the function
A = {(2, 4), (3, 9), (4, 16), (5, 25)}
The set of ordered pairs that we have is:
B = {(2, 2), (3, 7), (4, 16), (5, 23)}
Note that there is a similarity between both sets of ordered pairs.
In set B the values of y are always 2 units less than the values in y of the set A.
Then we deduce that since the function that models the set A is then the function that contains the ordered pairs of the B set is:
The correct option is option C)