The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

c² - 3c + 17 = 5c + 2
c² - 3c + 17 - 2 = 5c
c² - 3c - 5c + 15 = 0
c² - 8c + 15 = 0

Next, factor the quadratic equation:

c² - 8c + 15 = 0
(c - 3)(c - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 3) or (c - 5) must equal zero:

If (c - 3) = 0, c must equal 3
If (c - 5) = 0, c must equal 5

So the solution is that c = 3 or 5

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 4
a = 36

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

b + y = 4b + 5y - 8
b = 4b + 5y - 8 - y
b - 4b = 5y - 8 - y
-3b = 4y - 8
b = \( \frac{4y - 8}{-3} \)
b = \( \frac{4y}{-3} \) + \( \frac{-8}{-3} \)
b = -1\(\frac{1}{3}\)y + 2\(\frac{2}{3}\)

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)