Question

X^2-×-6=?
(X^2 inseamna x la puterea a 2 a)

Answer 1

$x^{2} - x - 6 = \\ {x}^{2} + 2x - 3x - 6 \\ x(x + 2) - 3(x + 2) \\( x + 2)(x - 3)$

Daca mai ai nevoie, stiind ca (x-3)(x+2) = 0
=> unul dintre factori este 0
pt x -3 = 0 => x =3
pt x+2 = 0 => x=-2

Answer 2

${x}^{2} - x - 6$

${x}^{2} - x - 6 = 0$

$a = 1$

$b = - 1$

$c = - 6$

$delta = {b}^{2} - 4ac$

$delta = ( - {1})^{2} - 4 \times 1 \times ( - 6)$

$delta = 1 + 24$

$delta = 25 > 0$

$= > exista \: x1 \: diferit \: de \: x2$

$x1.2 = \frac{ - b + - \sqrt{delta} }{2a}$

$x1.2 = \frac{ - ( - 1) + - \sqrt{25} }{2 \times 1}$

$x1.2 = \frac{1 + - 5} {2}$

$x1 = \frac{1 + 5}{2}$

$x1 = \frac{6}{2}$

$x1 = 3$

$x2 = \frac{1 - 5}{2}$

$x2 = - \frac{4}{2}$

$x2 = - 2$