Math, asked by suneethagali1404, 9 months ago

3x^2-6x+2=0 solve by completing square method​

Answers

Answered by uniyalsudhir368
3

Answer:

hey

cute your answer is here

3x 2 -6x-2=0

Two solutions were found :

1. x =(6-√60 )/6=1-1/3√ 15 = -0.291

2. x =(6+√60 )/6=1+1/3√ 15 = 2.291

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(3x 2 - 6x) - 2 = 0

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 3x 2 -6x-2

The first term is, 3x 2 its coefficient is 3 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 3 • -2 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -6 .

-6 + 1 = -5

-3 + 2 = -1

-2 + 3 = 1

-1 + 6 = 5

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 2 :

3x 2 - 6x - 2 = 0

Step 3 :

Parabola, Finding the Vertex :

3.1 Find the Vertex of y = 3x 2 -6x-2

Step-by-step explanation:

hope it will help you

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