Question

Matriz determine x tal que: ​

Answer 1

1) Multiplicando a diagonal Principal:

2x.x=2x²

Multiplicando a diagonal Secundária:

1.(3x+2)=3x+2

2x²-(3x+2)=0

2x²-3x-2=0(desenvolver equação do 2°grau).

∆=(-3)²-4.2.-2

∆=9+16

∆=25

x=-(-3)±√25/2.2

x=3±5/4

x'=3+5/4=8/4=2

x''=3-5/4=-2/4=-1/2

S={2,-1/2}

2) Multiplcar diagonal Principal:

2x.(3x-1)=6x²-2x

Multiplcar diagonal Secundária:

(4x+5).(x-2)=4x²-8x+5x-10=4x²-3x-10

6x²-2x-(4x²-3x-10)=11

6x²-2x-4x²+3x+10-11=0

2x²+x+-1=0

∆=1²-4.2.-1

∆=1+8=9

x=-1±√9/2.2

x=-1±3/4

x'=-1+3/4=2/4=1/2

x''=-1-3/4=-4/4=-1

s

S={1/2,-1}