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Mathematics
Peppa Pig
12 May, 15:52
Solve for x.
x+3=sqrt4x+-17
+5
Answers (
1
)
Nicholas Mcmahon
12 May, 19:12
0
x = 2
Step-by-step explanation:
x + 3 = √ (4x + 17)
x² + 6x + 9 = 4x + 17
x² + 2x - 8 = 0
(x + 4) (x - 2) = 0
x = 2 or - 4
Check for extraneous solutions.
2 + 3 = √ (4 (2) + 17)
-4 + 3 ≠ √ (4 (-4) + 17)
x = - 4 is not a solution. So x = 2.
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