Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
Given
John had a roll containing of wrapping paper
First, he must cut off 5/6 foot because it was torn.
He wants to divide it into 11 pieces.
To proof
As given in question
John had a roll containing of wrapping paper
( solving the mixed fraction form)
First, though, he must cut off 5/6 foot
than we get
Taking the L.C.M of 3 and 6 is 6
=23.83 feet (approx)
He wants to divide it into 11 piece
length of the each piece
length of the each pieces be 2.16 feet ( approx)
Hence proved
9514 1404 393
Answer:
23
Step-by-step explanation:
Put 8 in the formula and do the arithmetic.
A8 = 2·8 +7 = 16 +7
A8 = 23
