Final answer:
The quadratic equation in standard form is x² - 2x - 21 = 0.
Step-by-step explanation:
The given quadratic equation is:
x² - 2x - 6 = 15
To write the quadratic equation in standard form, we need to move all the terms to one side of the equation, so that the equation is equal to zero:
x² - 2x - 6 - 15 = 15 - 15
x² - 2x - 21 = 0
Therefore, the quadratic equation in standard form is x² - 2x - 21 = 0.