anonymous
  • anonymous
√3x+6 (+6 is in radical)= x-4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
square both sides to get rid of square root
anonymous
  • anonymous
square (x-4)---FOIL
anonymous
  • anonymous
\[3x + 6 = x^{2} -8x + 16\]

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More answers

anonymous
  • anonymous
subtract 3x and 6 to move to right side leaving 0 on the left
anonymous
  • anonymous
\[x^{2} -11x - 10 =0\]
anonymous
  • anonymous
you can factor using chart or my grouping
anonymous
  • anonymous
sorry that should be +10
anonymous
  • anonymous
\[x^{2} - 11x + 10 =0\]
anonymous
  • anonymous
what factors of 10 as a product gives you -11 as a sum? -1 * -10=10 and -1 + (-10)=-11
anonymous
  • anonymous
so the factors are -1 and -10 (x-1)(x-10)=0 x-1 = 0 and x-10=0 x=1 x=10 {1, 10}
anonymous
  • anonymous
or factoring by grouping-break down middle term using know factors of -1 and-10
anonymous
  • anonymous
\[x^{2}-x-10x+10\]
anonymous
  • anonymous
factor out GCF x(x-1)-10(x-1)=0 (x-10)(x-1)=0 x=10 and x=1
anonymous
  • anonymous
thx
anonymous
  • anonymous
welcome...do you understand? what grade are you in...medal please ; )
anonymous
  • anonymous
im in 8th doing algebra, so what ur final answer?
anonymous
  • anonymous
and what are you talking about with a medal?
anonymous
  • anonymous
love 8th grade Algebra! Solutions are 10 and 1 {1, 10}
anonymous
  • anonymous
click on good answer by my name on the right
anonymous
  • anonymous
yeah i got that, but when you plug it back in, it doesnt work. does it have to work?
anonymous
  • anonymous
what answer do i click on for good answer?
anonymous
  • anonymous
it does work
anonymous
  • anonymous
\[x=1 \sqrt{9}=1-4\]
anonymous
  • anonymous
okay good, thanks for your help
anonymous
  • anonymous
square root of 9 is 3 or -3
anonymous
  • anonymous
wait could u also help me with another question instead of me reposting one??
anonymous
  • anonymous
sure
anonymous
  • anonymous
x=10 so square root of 36 equals -6 or 6
anonymous
  • anonymous
a right triangle has one leg that is 4 inches shorter than the other leg. the hypotenuse is √106 inches. find the lengths of the legs.
anonymous
  • anonymous
ok i'm writing it out to solve...hold on
anonymous
  • anonymous
k
anonymous
  • anonymous
ill be right back
anonymous
  • anonymous
do you want to factor my grouping
anonymous
  • anonymous
\[2x^{2}-8x-90=0\]
anonymous
  • anonymous
let a = x, b=(x-4) and c=square root of 106(hypotenuse)
anonymous
  • anonymous
\[x^{2} + x^{2} -8x +16 = 106\]
anonymous
  • anonymous
after plugging into Pythagorean Theorem (right triangle)
anonymous
  • anonymous
subtract 106 from both sides to get the first equation I posted above
anonymous
  • anonymous
back
anonymous
  • anonymous
working backwards so hope you can follow
anonymous
  • anonymous
kind of
anonymous
  • anonymous
where did you get lost?
anonymous
  • anonymous
http://www.twiddla.com/536745 go there for explanation
anonymous
  • anonymous
thx

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