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# parabolas

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Two parabolas are the graphs of the equations y = 2x^2 - 10x - 10 and y = x^2 - 4x + 5. Give all points where they intersect. List the points in order of increasing -coordinate, separated by semicolons.

Oct 9, 2020

#1
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+1

Two parabolas are the graphs of the equations y = 2x^2 - 10x - 10 and y = x^2 - 4x + 5. Give all points where they intersect. List the points in order of increasing -coordinate, separated by semicolons.

Hello Guest!

$$2x^2-10x-10=x^2-4x+5\\ x^2-6x-15=0\\ x=3\pm \sqrt{9+15}\\$$

$$x=3\pm \sqrt{24}$$                 $$y = x^2 - 4x + 5$$

$$P_1(-1.899, 16.202)\ ;\ P_2(7.899,35.798)$$

!

Oct 10, 2020
edited by asinus  Oct 10, 2020