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which of the following are solutions to the equation Check all that apply. 4x^2-12x+9=5
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a.\[x=\frac{- \sqrt{5} +3}{ 2 }\]
B.\[x=\sqrt{4}-3\]
C.\[x=\frac{ \sqrt{5}+3 }{ 2 }\]
D.\[x=\sqrt{5}+\frac{ 3 }{ 2 }\]
E.\[x=-\sqrt{5}+\frac{ 3 }{ 2 }\]
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F.\[x=-\sqrt{4}-3\]
What do you think?
i dont get it
can someone check my answer it the link
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\[4x^2-12x+9=5 \]\[(3-2 x)^2 = 5\]\[(2 x-3)^2 = 5\]Then take the square root!
is the link trying to say \[x=\sqrt{11}+3\]
$$\tt \tt \begin{align*} \\ 4x^2-12x+9=5\\ 4x^2-12x+4=0\\ 4(x^2-3x+1)=0)\\ (x^2-3x+1)=0)\\ x=\frac{3\pm\sqrt{9-4}}{2}\\ x=\frac{3\pm\sqrt{5}}{2}\\ \end{align*}$$
YUP! A and C
and \[x=-\sqrt{11}+3\]
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No. It is not!
Look at what @ybarrap said!
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