Which quadratic equation is equivalent to (x-4)^2-(x-4)-6=0

x²-9x+14 is the quadratic equation.

Step-by-step explanation:

We have given the equation:

(x-4)²-(x-4)-6=0

We have to find the quadratic equation equivalent to the given equation.So,

(x-4)²-(x-4)-6=0

As we know that, (a-b)²=a²+b²-2ab  then we get,

x²+16-8x-x+4-6=0

x²-9x+14=0

x²-9x+14 is the quadratic equation equivalent to (x-4)²-(x-4)-6=0

For this case, we must find the quadratic equation equivalent to:

By definition we have to:

So:

So, we have:

Equal signs add up and the same sign is placed.

Different signs are subtracted and the sign of the major is placed.