Find the number of real number solutions for the equation. x2 − 2x + 9 = 0

Hi there!

We can use the discriminant of the quadratic formula to find the number of real solutions to this (or any other quadratic) equation.

The discriminant can be found by plugging in the data from the equation into the following formula:


When we fill in the data from the question we get


Since d < 0 the equation has zero real solutions.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.

Skew lines(segments) are lines(segments) in 3 dimensions that do not intersect the given segment and are not parallel to it.  ae, bf, eg, and fh are your skew segments.  i hope that : )