ImAProblemChild
ImAProblemChild ImAProblemChild
  • 03-04-2020
  • Mathematics
contestada

Solve the quadratic by factoring.
x^2-5x-31=5

Respuesta :

ftzptr
ftzptr ftzptr
  • 03-04-2020

Answer:

[tex]x = - 4\: or \: x = 9[/tex]

Step-by-step explanation:

make one side equal to zero:

[tex] {x}^{2} - 5x - 36 = 0[/tex]

find two factors that multiply to -36 and add to -5 (-9 & 4)

[tex] {x }^{2} - 9x + 4x - 36 = 0[/tex]

factorise

[tex]x(x - 9) + 4(x - 9) = 0[/tex]

[tex](x + 4)(x - 9) = 0[/tex]

solve for x

[tex]x = - 4 \: or \: x = 9[/tex]

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