## 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

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 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 – 