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balu736 [363]
3 years ago
13

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

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
6 0

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

(x-4) ^ 2- (x-4) -6 = 0

By definition we have to:

(a-b) ^ 2 = a^2-2ab + b ^ 2

So:

(x-4) ^ 2 = x ^ 2-2 (x) (4) + 4 ^ 2 = x ^ 2-8x + 16

So, we have:

- * + = +\\- * - = +

x ^ 2-8x + 16-x + 4-6 = 0

Equal signs add up and the same sign is placed.

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

x ^ 2-9x + 14 = 0

Answer:

x ^ 2-9x + 14 = 0

MrMuchimi3 years ago
5 0

Answer:

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

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