Consider the parabola given by the equation: f(x)=−2x2−10x+3f(x)=-2x2-10x+3 Find the following for this parabola: Find the coordinates of the two x -intercepts of the parabola and write them as a list, separated by commas:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the parabola given by the equation: f(x)=−2x2−10x+3f(x)=-2x2-10x+3

Find the following for this parabola: Find the coordinates of the two x -intercepts of the parabola and write them as a list, separated by commas:

Expert Solution
Step 1

The equation is the form y=ax2+bx+c, where a0 represents a parabola. In this problem, the equation of a parabola is y=-2x2-10x+3. We have to find the x-intercept of the parabola. The x-intercept of a curve is defined as the point where the curve intersects the x axis. 

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