Question

Resolva a equaçao aseguir utilizando a formula de baskhara

2x²+x=1



Se puderem mostrar a conta e explicar agradeço

Answer 1

2x²+x=1
2x² +x x -1 = 0

a= 2
b= 1
c= -1

Δ= b² - 4ac
Δ= ((1)² - ((4(2)(-1)0
Δ= 9

x= -b +- √Δ/2a
x1=-1
x2 = 1/2

vertices ( -b/2a ; -Δ/4a)

vertices ( -1/5 ; -9/4)

Answer 2

2x²+x=1
2x²+x-1=0
a=2
b=1
c=-1
Δ=b²-4ac
Δ=1²-4.(2).(-1)
Δ=1+8
Δ=9

x=-b+√Δ/2a
x'=-1+√9 
       2.2
x'=-1+3
       4
x'= 2  =  1     
     4      2


x"=-1-3
        4
x"= -4   = -1
      4

as raízes são  (1/2, -1)