Question #e1abf

1 Answer
kubik98
Dec 21, 2017

see below

Explanation:

#3x^2-2x+7=0#

Well. This quadratic function has negative discriminat which means it has no roots.(factored form). Therefore I assume you mean the process of getting vertex form:

#f ( x ) = a ( x − h )^2 + kquad# is called the vertex form, where h and k are the x and y coordinates of the vertex, respectively.

#3[x^2-2/3x+7/3]=0#

#3[(x^2-2*1/3x+(1/3)^2)-(1/3)^2+7/3]=0#

#3[(x-1/3)^2-1/9+7/3]=0#

#3[(x-1/3)^2-1/9+(7*3)/9]=0#

#3[(x-1/3)^2+(21-1)/9]=0#

#3[(x-1/3)^2+20/9]=0#

#3(x-1/3)^2+(cancel3*20)/(cancel3*3)=0#

#3(x-1/3)^2+20/3=0#

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