Given :3x^2 6x+2=0⇒ 3x^2 6x+2+1 1=00ex0ex⇒ 3x^2 6x+3=10ex0ex⇒ 3(x^2 2x+1)=10ex0ex⇒ 3(x 1)^2=1⇒(x 1)^2=1/3⇒ x=1±1/√(3)Hence, x=1±1/√(3) is the final answer. ...

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Byju's Answer

Standard X

Mathematics

Quadratic Formula

Solve : 3x2-6...

Question

Solve :
$3 x^{2} - 6 x + 2 = 0$

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Solution

Given :
$3 x^{2} - 6 x + 2 = 0$
$\Rightarrow 3 x^{2} - 6 x + 2 + 1 - 1 = 0 \Rightarrow 3 x^{2} - 6 x + 3 = 1 \Rightarrow 3 (x^{2} - 2 x + 1) = 1 \Rightarrow 3 {(x - 1)}^{2} = 1$
$\Rightarrow {(x - 1)}^{2} = \frac{1}{3}$
$\Rightarrow x = 1 \pm \frac{1}{\sqrt{3}}$
Hence, $x = 1 \pm \frac{1}{\sqrt{3}}$ is the final answer.

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Similar questions

Solve the following quadratic equation by factorization.
$3 x^{2} - 2 \sqrt{6 x} + 2 = 0$

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3 x^{2}

6 x

2

0

Q. Solve:

3 x^{2} - 2 \sqrt{6} x + 2 = 0

Q. Solve

3 x^{2} - 2 \sqrt{6 x} + 2 = 0

Q. Solve for

x :

3 x^{2} - \sqrt{6} x + 2 = 0.

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Solve : 3x2-6x+2=0

Given :3x2-6x+2=0⇒3x2-6x+2+1-1=0⇒3x2-6x+3=1⇒3(x2-2x+1)=1⇒3(x-1)2=1⇒(x-1)2=13⇒x=1±13Hence, x=1±13 is the final answer.

Solve :
$3 x^{2} - 6 x + 2 = 0$