Question

sendo x1 e x2 raizes da equaçao 2x²-5x-1=0,calcule o valor de x1²+x2²

Answer 1

2x²-5x-1=0
∆=b²-4ac
∆= (-5)²-4.2.(-1)
∆= 25+8
∆=33
x=-b±√∆/2a
x¹= 5+√33/4

x²=5-√33/4

x1²+ x2²
(5+√33/4)² + (5-√33/4)²
25+33/16 + 25-33/16
25+25
50