How do you solve #x^2-x=2# graphically?

Answer 1

#x=-1 or +2#

To solve #x^2-x =2#
Let #y= x^2-x-2#
Then we are to solve #y=0#
The graph of #y# is below.

graph{ x^2-x-2 [-5.55, 5.55, -2.78, 2.77]}

From which we can see that #y=0# where #x=-1 or +2#
Hence, the solution to our equation is #x=-1 or +2#
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Answer 2

To solve the equation (x^2 - x = 2) graphically, follow these steps:

  1. Rewrite the equation in standard form: (x^2 - x - 2 = 0).
  2. Plot the quadratic function (y = x^2 - x - 2) on a graph.
  3. Find the x-intercepts of the graph by locating the points where the graph intersects the x-axis. These points represent the solutions to the equation (x^2 - x = 2).

The graph should intersect the x-axis at two points, indicating that there are two solutions to the equation.

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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.

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.

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.

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.

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