kiarabrinson
kiarabrinson kiarabrinson
  • 11-06-2021
  • Mathematics
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What is the solution of sqareroot 1-3x = X+3?

What is the solution of sqareroot 13x X3 class=

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filzahmuneeb1
filzahmuneeb1 filzahmuneeb1
  • 11-06-2021

Answer:

x=-8 or x=-1 (first option)

Step-by-step explanation:

[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]

now expand the bracket on the right

[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]

now make it a quadratic equation:

[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]

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