mccrbcresha mccrbcresha
  • 03-03-2020
  • Mathematics
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7) Find the solutions to the following polynomial: 5x* +5x2 – 10 = 0

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-03-2020

Answer:

[tex]x = - 2 \: o r\: 1[/tex]

Step-by-step explanation:

We want to solve the quadratic equation:

[tex]5x + 5{x}^{2} - 10 = 0[/tex]

Rewrite in standard form to get:

[tex]5 {x}^{2} + 5x - 10 = 0[/tex]

Divide through by 5 to get;

[tex]{x}^{2} + x - 2 = 0[/tex]

Factor to get;

[tex](x + 2)(x - 1) = 0[/tex]

Apply zero product property to get:

[tex]x + 2 = 0 \: or \: x - 1 = 0[/tex]

The solutions are:

[tex]x = - 2 \: or \: x = 1[/tex]

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