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

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Answer 1 · 2018-06-11T14:01:44

#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#