Final answer:
To solve the quadratic equation x^2 - 4x = 7 using the quadratic formula, rearrange it to the form x^2 - 4x - 7 = 0, identify a = 1, b = -4, and c = -7, and then plug these values into the quadratic formula.
Step-by-step explanation:
To solve the quadratic equation x^2 - 4x = 7 using the quadratic formula, you first need to write the equation in standard form, which is ax^2 + bx + c = 0. In this case, you can rearrange the equation by subtracting 7 from both sides to get x^2 - 4x - 7 = 0. Now, you can compare this to the standard form and identify the values as a = 1, b = -4, and c = -7.
The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a)
Using the identified values for a, b, and c, you would plug in a = 1 into the quadratic formula to find the values of x.