Question 427988
set it equal to 0


4h^2 - 56 = 0


divide both sides of the equation by 4 to get:


h^2 - 14 = 0


add 14 to both sides of the equation to get:


h^2 = 14


take square root of both sides of the equation to get:


h = +/- sqrt(14)


the completely factored expression would be:


4 * (h-sqrt(14)) * (h+sqrt(14))


setting the exspression equal to 0 allows you to find the roots.


a graph of your equation is shown below:


{{{graph(600,600,-10,10,-70,70,4x^2-56)}}}


the equation that is graphed is y = 4*x^2 + 56


h is changed to x so that graphing software can handle it.


graph crosses the x-axis at +/= 3.74 which is equivalent to +/= sqrt(14).