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lopezhailey317
22.08.2019 •
Mathematics
If 3x^2-2x+7=0,then (x-1/3)^2= with detailed steps because i dont really understand it. i know the answer is -20/9 but explain
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Ответ:
Explanation:
A quadratic function is a kind of function with highest degree 2 . Standard form of the quadratic equation : tex]ax^2+bx+c=0[/tex]
Further explanation:
Consider the given quadratic equation :
First we divide both sides by 3 , we get
Compare this equation to
, we have
Now using the completing the squares method , Add and subtract
to the left side in (1), we get
It can be written as
Use identity
, we have
Subtract
from both the sides , we get
Therefore, the value of![(x-\dfrac{1}{3})^2)=-\dfrac{20}{9}](/tpl/images/0188/0477/d5bab.png)
Learn more :
link [Answered by Calculista] link [Answered by AkhileshT]Keywords :
Quadratic equation, standard form, completing squares method, Polynomial identities.
Ответ:
For this case we have the following polynomial:
To solve the problem, we must complete squares.
The first step is to divide the entire expression by 3.
We have then:
The second step is to place the constant term on the right side of the equation:
The third step is to complete the square:
Rewriting we have:
By completing squares we have:
Ответ:
I do not know the answer but I think it is A.