Question

Solve the equation using the quadratic formula.

negative lower x squared plus 27 equals 6 lower x
(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The given equation is:

-x^2 + 27 = 6x

To solve this equation using the quadratic formula, we write the equation in the form ax^2 + bx + c = 0, where:
a = -1
b = -6
c = 27

The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values:
x = (-(-6) ± √((-6)^2 - 4(-1)(27))) / (2(-1))
x = (6 ± √(36 + 108)) / (-2)
x = (6 ± √(144)) / (-2)
x = (6 ± 12) / (-2)

Therefore, the solutions to the equation are:
x = (6 + 12) / (-2) = 18 / (-2) = -9
x = (6 - 12) / (-2) = -6 / (-2) = 3

So the solutions to the equation are x = -9 and x = 3.