SOLUTION: Solve the radical equation, and check ALL proposed solutions:
sqrt(x+6) + sqrt(2-x) = 4
Answer choices:
A.) {2, -2}
B.) {0}
C.) {sqrt(31), -2}
D.) {-2}
Thanks!
Algebra ->
Radicals
-> SOLUTION: Solve the radical equation, and check ALL proposed solutions:
sqrt(x+6) + sqrt(2-x) = 4
Answer choices:
A.) {2, -2}
B.) {0}
C.) {sqrt(31), -2}
D.) {-2}
Thanks!
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Question 340744: Solve the radical equation, and check ALL proposed solutions:
sqrt(x+6) + sqrt(2-x) = 4
Answer choices:
A.) {2, -2}
B.) {0}
C.) {sqrt(31), -2}
D.) {-2}
Thanks! Answer by Sphynx pinastri(7) (Show Source):
You can put this solution on YOUR website! First, re-write the equation for clarity
and square both sides
simplify
and square both sides
multiply
simplify
notice that the equation is
i.e.
So the answer is D
In general you get rid of the radicals and solve the resulting equation.
When the equation cannot be easily solved, try to guess the rational roots
and simplify the equation.
(