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# Quadratic — Trequatitis: Prample : y w?-5se +6 <0 wa 4p ~ #7 42x43 <0 iN _A Crew 2%-3 FO a. ircl i n+13) = 1i3)~ = wx (n*+ 26n + 169 ) ) \ qrx(3n74+26n+35) Mor x(n*+ 26 +169) > oT ~~ (3n>+26n+35) DW: (n*+ 26x + 169) — ~ y) 2n*+On — 134 7 O an> — 134 > O n> — 67 FO (n-tq)(n+le7) > od Ne ~~ ws n< —Ve7 or nolg n <-€-185 oT NF 8-185 Tnteqey & minimum value ~~ NI mw & IM povtunt + | o n < ~ B-1%5 1§ not possible. - ) Rear: fF n<-—-8:I185 the inney radius n-I|_ wil) be negative number and yadius cannot be ned anvy . evefore, vi > 8-185 is the Possible range of n- $Si j er = (4 \ L | ( WY ___ The diagram shows a parallelogram. The area of the parallelogram is greater than 15cm ~~ Show that 2x? — 21x + 40 < 0 and hence find that range of possible values of x. LC Wa Qx- em 08 (10 —x)em Qur- l6u-5x+40 <0 a5< nu <8 axle-3)-5 (x-38) <0 a (22-5 ) CX-32) AO Here is a rectangle and a triangle. All measurements are in centimetres. ~The area of the rectangle is greater than the area of the triangle. ___ Find the set of possible values of x. 3x-2 > (Be-20(4e-)D > | xy 2xxxe 2 X05 or MP Y % canct be megane: at O< 2605 OF WIZ a a*+ 4x +3 > oO Cutt) (%43) >0o ) (et 1)(4*D = 0, \ as =) x=-t “Le catical values w= -3 C—O ne SL ed \ @® Ow = @ AS —- @ + - 3 — 4 + © je VL. (Cea) Cx+3) =O eS '? teh C41 )x(- 443) = © 3)x -1 = 3 30 + for (2) > m= 2 (- 241 )x (-2+2) =-|x14+=-1 x=0, Cxw+1) (x43) - 1x3 2 + (Oo+'){ 043) = wx (e+i)(x+3> > 0 ea < -3 oY x a-t Le a) — (x+1) (x+3) <0 C-1< x <-3 CZ eS (w+!) Cx+3) 7 © t 4 + (5) e2z— Tx F¢ 12 SO Jess +h an oY equal +o 2 — 3a -4n +19 %(*-32 -4 (2-3) &—4 ) (%x-3) (2-1d) Cx+IO) SO St “Z=-10 9 _., x= 10 cand = < e = + - O- @ -10 10 eo Wy 6+ 27 —> 2% t+ -6x%-27 947— Nx +9< Oo 13) 2e*> -lox +10 < 6 — o\ inte - , Gb ye Se tS 
