GurshaanU287060 GurshaanU287060
  • 25-10-2022
  • Mathematics
contestada

Solve x^2 - 3x - 10 = 0 by factoring. *Mark only one oval.O {-5,2}O (-2,-5)O {-2,5}○ {-10,1}

Solve x2 3x 10 0 by factoring Mark only one ovalO 52O 25O 25 101 class=

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KamrynO400284 KamrynO400284
  • 25-10-2022

In order to solve this quadratic equation by factoring, we can do the following steps:

[tex]\begin{gathered} x^2-3x-10=0\\ \\ x^2-3x-5\cdot2=0\\ \\ x^2+2x-5x-5\cdot2=0\\ \\ x(x+2)-5(x+2)=0\\ \\ (x-5)(x+2)=0\\ \\ \begin{cases}x-5=0\rightarrow x=5 \\ x+2=0{\rightarrow x=-2}\end{cases} \end{gathered}[/tex]

Therefore the solution is {-2, 5}. Correct option: third one.

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