When students take the psat test, receive a verbal score and a math score. if the sum of bonnie's two scores is 136 and the difference in her two scores is 22 what were bonnie's two scores.

verbal score=79 and math score=57

or verbal score=57 and math score=79

Step-by-step explanation:

v+m=136

v-m=22

add

2v=158

v=79

m=136-79=57

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.

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