Answer:
[tex]x^2 - x - 1 = 0[/tex]
Step-by-step explanation:
To rewrite the equation [tex]x^2 = 1 + x[/tex] in standard form, we need to set the equation equal to zero and combine like terms. The standard form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Given the equation:
[tex]x^2 = 1 + x[/tex]
We'll move all the terms to one side to set the equation equal to zero:
[tex]x^2 - x - 1 = 0[/tex]
Now, the equation is in standard form:
[tex]x^2 - x - 1 = 0[/tex]
