1A) p= -b/2a p =12/4 p=3 f(3)=18-36+8=-10 y=2(x-3)²-10 postać kanoniczna ______________________________________ 1B) Δ= 144-64=80 √Δ=√80 = √16 * √5 = 4√5 x1=(12-4√5) /4= 3-√5 x2= (12+4√5) / 4 = 3+√5 y= 2(x-3+√5)(x-3-√5) postac iloczynowa ________________________________________________ 1C) x ∈ ( -∞ ; 3-√5 ) u ( 3+√5 ; +∞ ) ____________________________________ 1D) x ∈ < 3-√5 ; 3+√5 > __________________________________________________ 2) x=-1 y=2*(-1)²-8*(-1)-7= 2*1+8-7 = 2+8 -7 = 10-7 =3 A=(-1,3) x=3 y= 18-24-7= -13 B= (3,-13) p= 8/4= 2 f(2)= 8-16-7= -15 W= (2,-15) min=-15 max=3 _____________________________________________ 3A) x(8x-3)=0 x=0 ∨ x=3/8 _____________________ 3B) -3(x²-16)=0 -3(x+4)(x-4)=0 x=4 ∨ x=-4 ___________________ 3C) x²+2x-4x²-8x=0 - 3x² -6x=0 -3x(x+2)=0 x=0 ∨ x=-2 ____________________________ 4A) a- 6b= 4 a=4+ 6b ab= b(4+6b)=4b + 6b² = 6b²+4b p =-b/2a =-4/12 = -1/3 b = - 1/3 a = 4+6*(-1/3) a = 2 ==================================================================== 1A) p= 12/ -4 = -3 f(-3) = -18+36-14= 4 y = -2(x+3)² +4 postać kanoniczna _________________________ 1B) Δ=144-112=32 √Δ = √16 * √2 √Δ=4√2 x1=(12-4√2 ) /-4= √2-3 x2=(12+4√2)/-4= -3-√2 y = -2(x-√2+3)(x+3+√2) postać iloczynowa ___________________________ 1C) x ∈ ( -∞ ; -3-√2 >u < √2-3 ; +∞) ____________________________ 1D) x ∈ ( -3-√2 ; √2-3) ______________________________ 2) x=-1 f( -1)= -3-6+5= -4 A =(-1,-4) x=2 f(2) = -27+12+5= -10 B = (2,-10) p= -6/-6 = 1 f(1)= -3+6+5 = 8 W=( 1,8 ) min=-10 max=8 ___________________________ 3A) -x(5x-2)=0 x=0 ∨ x= 2/5 ___________________________ 3B) 6x²-54=0 6(x+3)(x-3) =0 x=3 ∨ x=-3 _____________________________________ 3C) x²-3x-9x²+27x=0 -8x²+24x=0 -8x*(x-3) =0 x=0 ∨ x=3 _______________________ zad 4 x+y=14 y=14-x x²+y² = x²+(14-x)²= x²+196- 28x + x² = 2x² - 28x + 196 2x² - 28x + 196=0 I: 2 x²-14x+98=0 p = 14/2 = 7 x = 7 y = 14-7 y = 7 7 +7 = 14
Bardzo proszę o zrobienie zadań z tych dwóch rzędów :D
Z góry dzięki :D
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