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

Answer 1

Avery Alexander

#x = 0 or x = -1#

Add #x# to both sides.

#x^2 + x = 0#

Factor

#x(x+1) = 0#

In order to satisfy the equation, the left hand side must equal zero. This means that either #x = 0# or #x+1 = 0#

#implies x = 0 or x = -1#

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Answer 2

Ethan Adkins

To solve the equation -x = x^2, we first rearrange it to set it equal to zero: x^2 + x = 0. Then, we factor out the common factor x: x(x + 1) = 0. To find the solutions, we set each factor equal to zero: x = 0 and x + 1 = 0. Solving for x in the second equation gives us x = -1. Therefore, the solutions to the equation -x = x^2 are x = 0 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.