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# help parabolas

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Two parabolas are the graphs of the equations y= 2x^2 - 7x + 1 and y = 8x^2 - 25x + 13. Give all points where they intersect. List the points in order of increasing x-coordinate, separated by semicolons.

Feb 20, 2022

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$$y= 2x^2 - 7x + 1\ ||\ \ y = 8x^2 - 25x + 13$$. Give all points where they intersect.

Hello Guest!

$$f(x) = 2x^2 - 7x + 1\\ g(x)=8x^2 - 25x + 13\\f(x)=g(x)\\ f(x)-g(x)=-6x^2+18x-12=0\\ x^2-3x+2=0\\ x=\frac{3}{2}\pm \sqrt{\frac{9}{4}-2}\\ \color{blue}x\in\{1,2\}$$

$$\mathbb L=\{P_1(1,-4);P_2(2,-5)\}$$

!

Feb 20, 2022
edited by asinus  Feb 20, 2022
edited by asinus  Feb 20, 2022