Question

resolva as equações encontrando os coeficientes a,b,c e encontre as raizes
a) (x-2).(x-3)=2
b)( 2x-1).(x+4)=-4

Answer 1

a)(x-2).(x-3)=2
x²-3x-2x+6=2
x²-5x+4=0
∆=b²-4ac
∆=(-5)⅜-4.1.4
∆=25-16
∆=9
x=-b+-√∆/2a
x=5+-√9/2.1
x=5+-3/2
x|=5+3/2=8/2=4
x||=5-3/2=2/2=1

b)(2x-1).(x+4)=-4
2x²+8x-x-4=4
2x²+7x-4+4=0
2x²+7x=0
x|=0
x||=-b/a
x||=-7/2