anonymous
  • anonymous
4 x (x + 2 ) =14 explain if the statement is correct or incorrect
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
well you minus 2 from the four and you get 2x(x)=14 then you get 2 squared=14 and 2 squared is not 14 so it is incorrect.
anonymous
  • anonymous
Why?
anonymous
  • anonymous
thanks

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zzr0ck3r
  • zzr0ck3r
\[4x(x+2) = 14\\ 4x^2+8x = 14\\ 4x^2+8x-14=0\\ 4(x^2+2x)=14\\ 4(x+1)^2=14+4*1^2\\ 4(x+1)^2=18\\(x+1)^2=\frac{9}{2}\\x+1=\frac{\pm3}{\sqrt{2}}\\x=\frac{\pm3}{\sqrt{2}}-1\]
zzr0ck3r
  • zzr0ck3r
@lowcard2 what you said maid no sense
zzr0ck3r
  • zzr0ck3r
this is a quadratic equation, I am not quite sure what you were trying to do/
anonymous
  • anonymous
everything that has been posted still makes no sense im confused
anonymous
  • anonymous
I need to find what's wrong with the problem and correct it
zzr0ck3r
  • zzr0ck3r
kitto are you sure this is exactly how they asked the question? you asked if a statement with a variable is true. this statement is only true for 2 x values, those are the ones I showed at the end... you could have gotten the same answers from \[ax^2+bx+c=0\\then\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]
zzr0ck3r
  • zzr0ck3r
there is nothing wrong with the problem this is sort of like asking this... is this statement true 2+x = 4 well this is true when x = 2
anonymous
  • anonymous
4 x (x + 2) = 14 4x + 2 =14 4x == 12 x =3
zzr0ck3r
  • zzr0ck3r
you need to read about quadratic equations 4x(x+2) by the distribution propertiy of multiplication is 4x*x+2*4x 4x^2+8x so you have 4x^2+8x=14 we set equal to 0 and then solve 4x^2+8x-14=0 now we can use the formula I showed a = 4 b = 8 c = -14
zzr0ck3r
  • zzr0ck3r
if this were true when x = 3 as you said then \[4*3(3+2) = 12(5) = 60\ne14\]

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