Question

Resolva as equações a seguir​

Answer 1

Resposta: x=(-b±√(b²-4ac))/2a

Explicação passo-a-passo:

a²+5a+4=0

x=(-5±√(5²-4*1*4))/2*1

x'=(-5+3)/2 = -1

x''=(-5-3)/2=-4

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m(m-3)=180

m²-3m=180

m²-3m-180=0

x=(-(-3)±√((-3)²-4*1*(-180)))/2*1

x'=(3+27)/2=15

x''=(3-27)/2=12

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x²+(1/6)x-(1/6)=0

x²+(1/6)x-(1/6)=0 (*6) -->multiplica todos por 6

6x²+(6/6)x-(6/6)=0

6x²+x-1=0

x=(-1±√(1²-4*6*(-1)))/2*6

x'=(-1+5)/12=4/12

x''=(-1-5)/12=-6/12

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(x-1)²=2x(x+1)-10

x²-2*x*1+1²=2x²+2x-10

x²-2x+1-2x²-2x+10=0

-x²-4x+11=0 (*-1) (multiplica todos por -1)

x²+4x-11=0

x=(-4±√(4²-4*1*(-11)))/2*1

x'=(-4+7,745)/2=1,872

x''=(-4-7,745)/2=-5,872

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-m²-2=(m+4)(m-1)

-m²-2=m²-m+4m-4

-m²-2-m²+m-4m+4=0

-2m²-3m+2=0

x'=(3+5)/-4=-2

x''=(3-5)/-4=0.5

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(x-1/4)²=9/16

x²-2x(1/4)+(1/4)²=9/16

x²-(x/2)+1/16-9/16=0

x²-(x/2)-8/16=0

x'=((1/2)+1.5)/2=1

x''=((1/2)-1.5)/2=-0.5