Question

calcule o valor da raízes a seguir sendo U=|R

a) 9x²-12x-1=0
b)0,1x²-0,7x+1=0
c)3x²+3=(2x+1)²+4

Answer 1

a) Calculando o Δ da equação completa:Δ = b2 - 4.a.c 
Δ = -122 - 4 . 9 . -1 
Δ = 144 - 4. 9 . -1 
Δ = 180Há 2 raízes reais.

2) Aplicando Bhaskara:

x = (-b +- √Δ)/2ax' = (--12 + √180)/2.9   x'' = (--12 - √180)/2.9x' = 25,41640786499874 / 18   x'' = -1,4164078649987388 / 18x' = 1,4120226591665965   x'' = -0,07868932583326327

b)1) Calculando o Δ da equação completa:Δ = b2 - 4.a.c 
Δ = -0.72 - 4 . 0.1 . 1 
Δ = 0,48999999999999994 - 4. 0.1 . 1 
Δ = 0,08999999999999991Há 2 raízes reais.

2) Aplicando Bhaskara:

x = (-b +- √Δ)/2ax' = (--0.7 + √0,08999999999999991)/2.0.1   x'' = (--0.7 - √0,08999999999999991)/2.0.1x' = 0,9999999999999998 / 0.2   x'' = 0,4000000000000001 / 0.2x' = 4,999999999999998   x'' = 2,0000000000000004