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3 years ago

8

Rewrite the equation by completing the square. x^2−4x+3=0

1 answer:

harina [27]3 years ago

3 0

Answer:

x=1 or x=3

Step-by-step explanation:

Hello, please consider the following.

$x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3$

Thank you

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Alecsey [184]

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Step-by-step explanation:

Given function: $f(x)=\dfrac{3x^2}{x^2-4}$

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