1. (x-5)(x+5)(x+4)(2x+3)=0
x-5=0
x+5=0
x+4=0
2x+3=0
x=5
x=-5
x=-4
x=-3/2
x1=-5,x2=-4,x3=-3/2,x4=5
2. x³-7x²+16x-12=0
x³-2x²-5x²+10x+6x-12=0
x²(x-2)-5x(x-2)+6(x-2)=0
(x-2)(x²-5x+6)=0
(x-2)(x²-2x-3x+6)=0
(x-2)(x(x-2)-3(x-2))=0
(x-2)(x-2)(x-3)=0
(x-2)²(x-3)=0
(x-2)²=0
x-3=0
x1=2,x2=3
3. x⁴+x³-3x²-x+2=0
x⁴-x³+2x³-2x²-x²+x-2x+2=0
x³(x-1)+2x²(x-1)-x(x-1)-2(x-1)=0
(x-1)(x³+2x²-x-2)=0
(x-1)(x²(x+2)-(x+2))=0
(x-1)(x+2)(x²-1)=0
x-1=0
x+2=0
x²-1=0
x=1
x=-2
x=-1
x1=-2,x2=-1,x3=1
sa wakas natapos dn thank you
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Answers & Comments
1. (x-5)(x+5)(x+4)(2x+3)=0
x-5=0
x+5=0
x+4=0
2x+3=0
x=5
x=-5
x=-4
x=-3/2
x1=-5,x2=-4,x3=-3/2,x4=5
2. x³-7x²+16x-12=0
x³-2x²-5x²+10x+6x-12=0
x²(x-2)-5x(x-2)+6(x-2)=0
(x-2)(x²-5x+6)=0
(x-2)(x²-2x-3x+6)=0
(x-2)(x(x-2)-3(x-2))=0
(x-2)(x-2)(x-3)=0
(x-2)²(x-3)=0
(x-2)²=0
x-3=0
x1=2,x2=3
3. x⁴+x³-3x²-x+2=0
x⁴-x³+2x³-2x²-x²+x-2x+2=0
x³(x-1)+2x²(x-1)-x(x-1)-2(x-1)=0
(x-1)(x³+2x²-x-2)=0
(x-1)(x²(x+2)-(x+2))=0
(x-1)(x+2)(x²-1)=0
x-1=0
x+2=0
x²-1=0
x=1
x=-2
x=-1
x=1
x1=-2,x2=-1,x3=1
sa wakas natapos dn thank you