Question

encontre as raizes da equação x 2-7×+12=0

Answer 1

Resposta:

x² -7x +12 = 0

A) 1 B) -7 C) 12

Δ= b² -4.a.c

Δ= (-7)² -4 . 1 . 12

Δ= 49 - 48

Δ = 1

X1=

x= -b +/- √Δ/ 2.a

x= -(-7) +/- √1 / 2 . 1

x = 7 + 1 /2

x = 8/2

x = 4

X2

x= 7-1/2

x= 6/2

x= 3

Answer 2

Resposta:

S={3,4}

Explicação passo-a-passo:

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~x^{2}-7x+12=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=1{;}~b=-7~e~c=12\\\\\Delta=(b)^{2}-4(a)(c)=(-7)^{2}-4(1)(12)=49-(48)=1\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-7)-\sqrt{1}}{2(1)}=\frac{7-1}{2}=\frac{6}{2}=3\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-7)+\sqrt{1}}{2(1)}=\frac{7+1}{2}=\frac{8}{2}=4\\\\S=\{3,~4\}$