Question

Aflati valorile reale ale lui x,astfel incit sa fie adevarata egalitatia(rotunjiti rezultatul pina la zecimi) :x²-x=x+1

Answer 1

x²-x=x+1 => x²-2x-1=0 => Δ=b²-4ac => Δ=(-2)²+4*1*1= 4+4 = 8
$x_{12} =\frac{-b +- \sqrt{delta}}{2a}$
$x_{1} = \frac{-1+ \sqrt{8}}{2} ; x_{2} = \frac{-1- \sqrt{8}}{2}$