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-b +/- sqrt(b^2 - 4ac)/2a

a = 1

b = -7

c = -18

7 +/- sqrt( 49 + 72 )/2

7 +/- 11/2

roots are; 9 and -2 ( my TI-84 confirms this answer )

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Q: Use the quadratic formula to solve for the ordered pair here is the equation xsquared-7x-18 equals 0?
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What equation best describes the table of ordered pairs?

This kind of question usually accompanies a specific table of ordered pairs. The idea is that the ordered pairs take the form of (x, f(x)) where the first number of the ordered pair x, is a value of the variable for some equation. When that value is used in place of the variable in the equation, we can calculate a specific value. That calculated value appears as the second value of the ordered pair and is represented by f(x) above. Typically the equation is relatively simple, such as a linear equation or a quadratic equation. Therefore, in order to determine the equation, we have to know exactly what the ordered pairs are.


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What does it mean for a ordered pair to be a solution to a linear equation?

An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.


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