caidence201 caidence201
  • 21-03-2018
  • Mathematics
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What are the correct steps for solving the equation x^2-2x-15=0

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1rstar
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  • 25-03-2018
◆ QUADRATIC EQUATIONS ◆

[tex]given \: expression \: is \: , \: \\ \\ {x}^{2} - 2x - 15 = 0 \\ \\ = {x}^{2} + 3x - 5x - 15 = 0 \\ \\ = x(x + 3) - 5(x + 3) = 0 \\ \\ = (x - 5)(x + 3) = 0 \\ \\ therefore \: , \\ \\ (x - 5) = 0 \: or \: (x + 3) = 0 \\ \\ solving \: , \: we \: get \: , \\ \\ x = 5 \: or \: x = - 3 \: \: \: \: \: ans.[/tex]
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