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How do you solve #x^2=121#?

Answer 1

Isaiah Anthony

#x1 = -11,# #x2 = 11#

Move the constant to the left and change its sign

#x^2-121=0#

Using #a^2 - b^2 = (a - b) (a + b)#, Factor the expression

#(x - 11)(x + 11)=0#

When the product of factors equals 0, at least one factor is 0

#x-11=0#

#x+11=0#

Solve both equations for #x#

#x=11#

#x=-11#

The final solutions are

#∴# #x1=-11,# #x2=11#

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Answer 2

Genesis Allen

To solve (x^2 = 121), you can take the square root of both sides of the equation.

[ x = \pm \sqrt{121} ]

[ x = \pm 11 ]

So, the solutions to the equation (x^2 = 121) are (x = 11) and (x = -11).

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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.