3x^2-6x+2=0 solve by completing square method
Answers
Answer:
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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:
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