1] 2x^2-x-1=0 U x+3=0 delta=1-4*2*(-1)=1+8=9 x=-3 pierw. z delta=3 x1=1-3/4=-2/4=-1/2 x2=1+3/4=4/4=1 odp x=-3 U x=-1/2 U x=1 2] W(x)=-x⁴+2x³-ax+3 W(-2)=-1 -(-2)⁴+2*(-2)³-a*(-2)+3=-1 -16-16+2a+3=-1 2a=-1+16+16-3 2a=28 a=14
1. [latex](x+3)=0[/latex] [latex]x=-3[/latex] [latex](2x^{2}-x-1)=0[/latex] [latex]delta=b2-4ac[/latex] [latex]delta=1+8=9[/latex] [latex]x_{1}=frac{-b-sqrt{delta}}{2a}[/latex] [latex]x_{1}=frac{-2}{4}=-frac{1}{2}[/latex] [latex]x_2=frac{-b+sqrt{delta}}{2a}}[/latex] [latex]x_{2}=frac4{4}=1[/latex] 2. [latex]W(x)=-x^{4}+2x^{3}-ax+3[/latex] [latex]W(-2)=-1[/latex] [latex]-2^{4}+2cdot(-2)^{3}-acdot(-2)+3=-1[/latex] [latex]-16-16+2a+3=-1[/latex] [latex]-32+2a+3=-1[/latex] [latex]2a=-1-3+32[/latex] [latex]2a=28/:2[/latex] [latex]a=14[/latex]