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:

x² - 14x + 57 = x + 1
x² - 14x + 57 - 1 = x
x² - 14x - x + 56 = 0
x² - 15x + 56 = 0

Next, factor the quadratic equation:

x² - 15x + 56 = 0
(x - 7)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 7) or (x - 8) must equal zero:

If (x - 7) = 0, x must equal 7
If (x - 8) = 0, x must equal 8

So the solution is that x = 7 or 8

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 5² + 7²
c² = 25 + 49
c² = 74
c = \( \sqrt{74} \)

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a⁹ - 9a⁹ = -1a⁹