б)5;31 нужно разделить на 100 000
1.a)y²+3y-40=(y-y₁)(y-y₂);⇒
y²+3y-40=0 ⇒y₁,₂=-3/2⁺₋√(9/4 +40)=-3/2⁺₋√169/4=-3/2⁺₋13/2;
y₁=-3/2+13/2=10/2=5; y₂=-3/2-13/2=-16/2=-8;
y²+3y-40=(y-5)(y+8);
б)9x²-2x-11=(x-x₁)(x-x₂);⇒
9x²-2x-11=0;⇒x₁,₂=(2⁺₋√(4+4·9·11))/18=(2⁺₋√400)/18=(2⁺₋20)/18;
x₁=22/18=11/9;x₂=-1;
9x²-2x-11=(x-11/9)(x+1);
3.(y²-49)/(y²-5y-14)=(y-7)(y+7)/(y²-14y+9y+49-63)=(y-7)(y+7)/[(y-7)²+9(y-7)]=
=(y-7)(y+7)/(y-7)(y-7+9)=(y+7)/(y+2);
Log1÷3(54÷2)=log1÷3 27=-1log3 27=-3
(z + 2 4\11) - 4 7\11= 1 6\11
z+ 2 4\11= 4 7\11+1 6\11
z + 2 4\11 = 6 2\11
z=6 2\11 - 2 4\11
z=3 9\11