## n² + 14 = 12n how do I solve by quadratic formula ​

Question

n² + 14 = 12n
how do I solve by quadratic formula ​

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2 months 2021-09-27T12:13:03+00:00 2 Answers 0 views 0

## Answers ( )

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

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 –