Without solving the quadratic equation , find the sum of the squares of its roots,

13

Step-by-step explanation:

Take out the common factor of 2 using the inverse of the distributive property.

2(x^2 - 5x + 6)

Now factor the trinomial

(x - 2)(x - 3)

And find the 2 roots.

x1 -2  = 0

x1 = 2

x2 - 3 = 0

x2 = 3

x1^2 + x2^2 = 2^2 + 3^2 = 4 + 9 = 13

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

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.