Question

Solve the equation using the quadratic formula.

Answer 1

The value of x is -9 and 3.Option D.

Step-by-step explanation:

Given,

$-x^{2} +27 = 6x$

To find the value of x.

We will apply middle term factor formula.

The given equation can be written as,

$x^{2} +6x-27 = 0$

or, $x^{2}$+(9-3)x-27 = 0

or, x²+9x-3x-27= 0

or, x(x+9)-3(x+9)=0

or, (x+9)(x-3) = 0

So, x = -9 and x = 3

Hence,

The correct option is Option D.