n² + 14 = 12n how do I solve by quadratic formula Question n² + 14 = 12nhow do I solve by quadratic formula in progress 0 Math Cora 2 months 2021-09-27T12:13:03+00:00 2021-09-27T12:13:03+00:00 2 Answers 0 views 0

## Answers ( )

Answer:Step-by-step explanation:The quadratic formula is

Ignore the weird A at the beginning, I don’t know why it is there.

To get your equation into a quadratic equation, we have to move 12n to the other side, giving us

So in this case, our a=1, b=-12, and c=14. Remember

So we plug these values into our formula

. Again, ignore the weird A.

simplify and you will get

simplify the square root and you get

divide the and by the on the bottom and you will get and

So your answers are and

Answer:n = 6 + or n = 6 –

Step-by-step explanation:We can solve this equation using the quadratic formula OR Completing the Square method.

n² + 14 = 12n

rearrange : n² – 12n + 14 = 0

here a= 1 , b = -12, c = 14

the quadratic formula says: x = – b/ (2a) + root(b^2 – 4ac) / (2a)

or x = – b/ (2a) – root(b^2 – 4ac) / (2a)

x = – (-12)/ (2) + root((-12)^2 – 4*14) / (2)

x = 6 + root (144 – 56) / 2

x = 6 + root(88)/2

x = 6 + root(4*22) / 2

x = 6 + 2*root(22)/2

x = 6 + root(22) = 6 +

so x =6 + or x = 6 –

In this case x = n

n = 6 + or n = 6 –