Question

Solve the equation using the quadratic formula.

-x^2+27 = 6x
x=-3, X=9
X=-3X=3
x=-9,f=3
x=-9, x=3​

Answer 1

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

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.