Question

equação de 2 grau 4x²-x+1=x+3 resposta

Answer 1

Resposta:

4x²-x+1=x+3

4x²-x+1-x-3=0

4x²-2x-2=0

a=4 b=-2 e c= -2

∆= b²-4ac

∆= (-2)²-4(4)(-2)

∆= +4+32

∆= 36

x= -b ± √∆

2a

x= -(-2) ± √36

2(4)

x= +2 ± 6

8

x 1 linha= 2+6 = 8 = 1

8 8

x 2 linhas= 2-6 = -4 ( simplifica por 4)= -1

8 8 2

Answer 2

Resposta:

Explicação passo-a-passo:

4x²-x+1=x+3

4x²-x+1-x-3=0

4x²-2x-2=0 (÷2)

2x²-x-1=0

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~2x^{2}-1x-1=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=2{;}~b=-1~e~c=-1\\\\\Delta=(b)^{2}-4(a)(c)=(-1)^{2}-4(2)(-1)=1-(-8)=9\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-1)-\sqrt{9}}{2(2)}=\frac{1-3}{4}=\frac{-2}{4}=-0,5\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-1)+\sqrt{9}}{2(2)}=\frac{1+3}{4}=\frac{4}{4}=1\\\\S=\{-0,5;~1\}$