The value of x is -9 and 3.Option D.
Step-by-step explanation:
Given,
[tex]-x^{2} +27 = 6x[/tex]
To find the value of x.
We will apply middle term factor formula.
The given equation can be written as,
[tex]x^{2} +6x-27 = 0[/tex]
or, [tex]x^{2}[/tex]+(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.
