Solve the equation. Check the solution.

aa2−16+2a−4=2a+4
(1 point)
Responses

4
4

-16, -4
-16, -4

-16
-16

-16, 4

1 answer

To solve the equation, let's combine like terms:
aa^2 - 16 + 2a - 4 = 2a + 4
aa^2 + 2a - 20 = 2a + 4
aa^2 + 2a - 2a = 4 + 20
aa^2 = 24
a = 2

Now, let's check the solution by substituting a = 2 back into the original equation:
2(2)^2 - 16 + 2(2) - 4 = 2(2) + 4
8 - 16 + 4 - 4 = 4 + 4
-8 + 4 = 8
-4 = 8

Since -4 does not equal 8, the solution a = 2 is not correct. The equation has no solution.
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