√3x+6 (+6 is in radical)= x-4

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√3x+6 (+6 is in radical)= x-4

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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square both sides to get rid of square root
square (x-4)---FOIL
\[3x + 6 = x^{2} -8x + 16\]

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Other answers:

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

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