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Solve for x in the following equations: x2 − 1 = 0 and 2x − 4 = 0.

Mathematics

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Answer

x=1,−1x = 1, -1

Step-by-step solution

2 steps

Here are the values of xx for each expression in the matrix, assuming each expression is set to zero:

Equation 1:
We need to solve the equation x2−1=0x^2 - 1 = 0.

  1. Add 1 to both sides of the equation.

    x2=1x^2 = 1
  2. Take the square root of both sides.

    Remember to consider both positive and negative roots.

    x=±1x = \pm \sqrt{1} x=±1x = \pm 1

    The solutions are x=1x = 1 and x=−1x = -1.

    x=1,−1\boxed{x = 1, -1}

    Equation 2:
    We need to solve the equation $2x - 4 =

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