erikpaynee6721 erikpaynee6721
  • 14-02-2021
  • Mathematics
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What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13

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berno berno
  • 14-02-2021

Answer:

[tex]x=-3,13[/tex]

Step-by-step explanation:

Given: [tex]x^2-10x=39[/tex]

To find: solutions of the given equation

Solution:

[tex]x^2-10x=39\\x^2-10x-39=0[/tex]

Write [tex]-10=-13+3[/tex]

Therefore,

[tex]x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13[/tex]

So, solutions of the given equation are [tex]-3[/tex] and [tex]13[/tex].

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