Question

Solve the equation by graphing.

x^2-10x+24 = 0
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
Then, use the graph to give the solution(s) to the equation.
If there is more than one solution, separate them with commas.

Answer 1

\(\bf x^2-10x+24 = 0
\\ \quad \\
\textit{vertex of a parabola}\\ \quad \\
{\color{red}{ 1}}x^2{\color{blue}{ -10}}x{\color{green}{ +24}}=0\qquad

\left(-\cfrac{{\color{blue}{ b}}}{2{\color{red}{ a}}}\quad ,\quad {\color{green}{ c}}-\cfrac{{\color{blue}{ b}}^2}{4{\color{red}{ a}}}\right)\)

use the vertex you found, and pick four points, two on either side of the vertex
graph away, find the solutions

solution for a quadratic, or parabola, means, the x-intercepts
or where the graph touches the x-axis

Answer 2

thank you! so after I plug in my equation into that point and plot it that's my vertex then I JUST PLOT WHAT EVER ELSE ON EITHER SIDE? ( sorry for caps =o)

Answer 3

http://www.wolframalpha.com/input/?i=x^2-10x%2B24

Answer 4

oh I love that site it can really help with these problems? =D