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How do you solve #(x - 6)^2= 49#?

Answer 1

Eva Adamson

#x = -1, 13#

#(x - 6) = sqrt(49)#

#x - 6 =+- 7#

#x = -7 + 6 or 7 + 6#

#x = -1 or 13#

Hopefully this helps!

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Answer 2

Abigail Allen

To solve the equation (x - 6)^2 = 49, take the square root of both sides to remove the exponent. This gives you two equations: x - 6 = 7 and x - 6 = -7. Solve each equation separately for x.

For x - 6 = 7, add 6 to both sides to isolate x: x = 7 + 6 = 13.

For x - 6 = -7, add 6 to both sides to isolate x: x = -7 + 6 = -1.

So, the solutions are x = 13 and x = -1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.