Use the quadratic formula to find the solutions to the equation. x2 – 3x + 1 =0

Hello mate!

IF you have an quadratic equation of the form:

you can find the two solutions using:

and

Now our equation is

so a= 1, b = -3 and c = 1

now we just could replace it on the equations for x1 and x2:

and similar for x2;

ok then what happened.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.