Question

2(x²+3x)-x+1=-x² como faço para resolver usando equação de 2 grau

Answer 1

2(x²+3x)-x+1=-x²
2x² + 6x - x + 1 + x² = 0
3x² + 5x + 1 = 0

∆ = b² - 4ac
∆ = 5² - 4.3.1
∆ = 25 - 12
∆ = 13

x = ( - b ± √∆ ) / 2a
x = (-5 ± √13) / 2.3
x = (-5 ± √13) / 6

x' = ( -5 + √13 . √13 ) / 6.√13
x' = ( -5 + √165 ) / 6.√13
x' = ( -5 + 13 ) / 6.√13
x' = 8 / 6.√13
x' = 8.√13 / 6.√13.√13
x' = 8.√13 / 6.√165
x' = 8.√13 / 6.13
x' = 8.√13 / 78
x' = 4.√13 / 39


x'' = ( 5 + √13 . √13 ) / 6.√13
...
x'' = 18.√13 / 78
x'' = 6.√13 / 26