What are the solutions to the equation? x^2−14x=15

The solutions to the equation are 15 and -1.

x = 15 and x = -1

Step-by-step explanation:

x^2 - 14x = 15

Subtract 15 from both sides:

x^2 - 14x -15 = 0

a = 1, b = -14, c = -15

Use the quadratic formula:

[-(-14) ± √-14^2 - 4(1)(-15)]/2(1)

[14 ± √196 - (-60)]/2

(14 ± √256)/2

(14 ± 16)/2

(14 + 16)/2 = 30/2 = 15

(14 - 16)/2 = -2/2 = -1

x = 15 and x = -1

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents