Potrzebuje zadanie 6 i 7
6.a)
w(5)=-160
-160=a(5-1)(5+3)(5+5)
-160=a*4*8*10
-1/2=a
b)
F(x)=x²+2x-3=(x+3)(x-1)
(x+3)(x-1)=-1/2(x-1)(x+3)(x+5)
1=-1/2(x+5)
-2=x+5
x=-7
7. a)
W(x)=a(x-p)^2(x+q)
pierwiastki x1=1^(2) ⇒drugiego stopnia czyli x1=p bo jest do 2 potegi
x2=2 x2=-q q=-2
W(-2)=36
36=a(-2-1)^2(-2-2)
36=a*9*(-4)
a=-1
b) W(x)=2
2=-(x-1)^2(x-2)
-(x²+2x-1)(x-2)=2
x³-2x²+2x²-4x-x+2=-2
W(x)=x³-3x+4
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6.a)
w(5)=-160
-160=a(5-1)(5+3)(5+5)
-160=a*4*8*10
-1/2=a
b)
F(x)=x²+2x-3=(x+3)(x-1)
(x+3)(x-1)=-1/2(x-1)(x+3)(x+5)
1=-1/2(x+5)
-2=x+5
x=-7
7. a)
W(x)=a(x-p)^2(x+q)
pierwiastki x1=1^(2) ⇒drugiego stopnia czyli x1=p bo jest do 2 potegi
x2=2 x2=-q q=-2
W(-2)=36
36=a(-2-1)^2(-2-2)
36=a*9*(-4)
a=-1
b) W(x)=2
2=-(x-1)^2(x-2)
-(x²+2x-1)(x-2)=2
x³-2x²+2x²-4x-x+2=-2
W(x)=x³-3x+4