colyera colyera
  • 19-01-2020
  • Mathematics
contestada

Find the roots of the parabola given by the following equation
2x^2+5X-9=2x

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-01-2020

Answer:

[tex]x=-3\:or\:x=\frac{3}{2}[/tex]

Step-by-step explanation:

The given parabola has equation

[tex]2x^2+5x-9=2x[/tex]

We rewrite in standard form to obtain:

[tex]2x^2+5x-2x-9=0[/tex]

[tex]2x^2+3x-9=0[/tex]

Split the middle terms to get:

[tex]2x^2+6x-3x-9=0[/tex]

Factor by grouping:

[tex]2x(x+3)-3(x+3)=0[/tex]

[tex](x+3)(2x-3)=0[/tex]

[tex]x=-3\:or\:x=\frac{3}{2}[/tex]

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