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Find the value of x. (Be sure to give all solutions)
x2 - 6 = 138
  • a)
    11.49
  • b)
    12
  • c)
    ±12
  • d)
    72
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the value of x. (Be sure to give all solutions)x2 - 6 =138a)11.49...
Simplifying x2 + -6 = 138
Reorder the terms: -6 + x2 = 138
Solving -6 + x2 = 138
Solving for variable 'x'
Move all terms containing x to the left, all other terms to the right
Add '6' to each side of the equation
-6 + 6 + x2 = 138 + 6
Combine like terms: -6 + 6 = 0
0 + x2 = 138 + 6
x2 = 138 + 6
Combine like terms: 138 + 6 = 144
x2 = 144
Simplifying x2 = 144
Take the square root of each side:
x = {-12, 12}
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