How do you solve the equation by graphing $x^2 - 5x - 24 = 0$ ?

Question

4760 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-23T20:46:16

$x=-3$
$x=8$

The quadratic can be solved by graphing. The solutions are where the graph crosses the x-axis.

graph{x^2-5x-24 [-16.02, 16.01, -8.02, 8]}

As you can see from the graph, it crosses the x axis at $(-3,0)$ and at $(8,0)$

The answers are $x=-3$ and $x=8$

This can also be solved by factorising the polynomial.

$x^2-5x-24=0$

The factors are 8 and 3 because they multiply to make 24 and subtract to make 8.

$(x+3)(x-8)=0$

This means that the graph crosses the x-axis at $-3$ and at $8$ .

How do you solve the equation by graphing x^2 - 5x - 24 = 0x^2 - 5x - 24 = 0?