Respuesta:
x = ( -1 + √21 ) / 2 = 1.79
x = ( -1 - √21 ) / 2 = -2.79
Explicación paso a paso:
2x² - 3(x+2) + 5 = (x - 2)²
2x² - 3x - 6 + 5 = x² - 4x + 4
2x² - x² + 4x - 3x - 6 + 5 - 4 = 0
x² + x - 5 = 0
x = (-1 ± √(1² - 4(1)(5)) ) / 2(1)
x = ( -1 + √21 ) / 2 = 1.79
x = ( -1 - √21 ) / 2 = -2.79