Question 113973
write an equation of the line having the following properties. is parallel to the graph of 5/4 x-3 and passes through the origin? 


Use the quadratic formula to solve the equation 

{{{7x^2-32x=31}}}

{{{7x^2-32x-31=0}}}

the roots are:

{{{x[1,2]=(-b +- sqrt (b^2 -4*a*c )) / (2*a)}}}

{{{x[1,2]=(-(-32) +- sqrt ((-32)^2 -4*7*(-31) )) / (2*7)}}}


{{{x[1,2]=(32 +- sqrt(1024 + 868)) / 14}}}

{{{x[1,2]=(32 +- sqrt (1892)) / 14}}}

{{{x[1,2]=(32 +- 43.5 )/ 14}}}


{{{x[1]=(32 + 43.5) / 14}}}

{{{x[1]= 75.5/ 14}}}

{{{x[1]= 5.39}}}

{{{x[2]=(32 - 43.5) / 14}}}

{{{x[2]=-11.5 / 14}}}

{{{x[2]=-0.82}}}


check for {{{x[1]= 5.39}}}

{{{7x^2-32x=31}}}

{{{7(5.4)^2-32(5.4)=31}}}

{{{7(29.1)-32(5.4)=31}}}

{{{203.7- 172.8 = 31}}}

{{{30.9= 31}}}…round it

{{{31 = 31}}}
 
check another one too