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Camden Whitaker
Mathematics
25 November, 04:30
Solve (9x-4) ^2=18 using the square root method
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Stephen Richmond
25 November, 04:34
0
x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3
Step-by-step explanation:
Solve for x over the real numbers:
(9 x - 4) ^2 = 18
Take the square root of both sides:
9 x - 4 = 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)
Add 4 to both sides:
9 x = 4 + 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)
Divide both sides by 9:
x = 4/9 + sqrt (2) / 3 or 9 x - 4 = - 3 sqrt (2)
Add 4 to both sides:
x = 4/9 + sqrt (2) / 3 or 9 x = 4 - 3 sqrt (2)
Divide both sides by 9:
Answer: x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3
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