1S-13.] 15 



t what values of m are the rooU equal? Real? On* infinitely 

 great* Otto y. factor* of the first number of the 



5. Find five pain of numbers that satisfy UM equation i 



(1) x + 3,-7-0; 



f-4; .Jx + Oxy-S^+ai-.a. 



6. Without Holviug, determine the nature of the root* of the equation : 



l-'ry + 4f = 0, 3-ttr + 10s* = 0. 



7. Solve the following pairs of simultaneous equations : 



;Jx- 5y + .> = o, and 4=0; 



*- 2* + 3 B 0, and 7 y -f 4* - 2 * 0; 

 (8) jf - 3* 4- c = 0, and / = f 

 (I) r* + y= 5, and y = 6r; 

 (5) Mx -t- ay = oV, and y = ax + ; 



8. H-t.-nniue those Tallies of 6 for which each of the following pairs 

 of equations will be satisfied by two equal values of y : 



(1) {x i + y = ai ( , = * + }; (2) {jrastf^f 1 --! 

 x = 6, 6x^^= 1 



9. I !.- r luiii.-. f<r t)i pairs of equations in Ex. 8, those rallies of A 

 which will give equal values of x. 



1CMULA8 



13. Directed lines. Angles. A line is said to be directed 

 when u -a is made between the segment from any 



point .1 >t the line to another point B, and the opposite seg- 

 ment frui'i B to A. One of these din/ft ions is chosen as 



, or +. and the opposite direction is then nega 

 or . 



angle form -n. -meeting directed straight 



lin. K-latiou between the positions of tin- two lines 



h is expressed by the amount of rotation ulxmt their 



point of intcrsivtion necessary ixisitive end 



