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How do you solve #x^2-10x=-24# by graphing?

Answer 1

Eva Abramson

#x=4, x=6#

You have it set to #0#, which is #x^2-10x+24#.

graph{x^2-10x+24 [-10, 10, -5, 5]} is the graph for it.

Advice for figuring out the vertex: #x=-b/(2a)#

Enter the x-coordinate into the equation to find the y-coordinate, then solve for #y#.

Put the following equation in vertex form: #y=a(x-h)^2+k#, where the vertex is #(h,k)#.

In essence, graph the parent quadratic function #y=x^2#, five units to the right and one unit down, using the formula #y=(x-5)^2-1#.

Examine the x-intercepts, or zeroes: #x=4 and 6#.

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Answer 2

Jace Anderson

To solve the equation x^2 - 10x = -24 by graphing, first rearrange the equation into the form y = x^2 - 10x + 24. Then, plot the quadratic function y = x^2 - 10x + 24 on a graph. The solutions to the equation correspond to the x-values where the graph intersects the x-axis. You can find these points either by visually inspecting the graph or by using a graphing calculator or software. Once you identify the x-values where the graph intersects the x-axis, those are the solutions to the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.