Question

Determinati suma patratelor solutiilor reale ale ecuatieix² - 2x - 15 = 0​

Answer 1

Răspuns: 34

Explicație pas cu pas:

$\bf x^2 - 2x - 15 = 0$

$\bf x^2 +3x -5x - 15 = 0$

$\bf x\cdot(x+3) -5\cdot(x +3) = 0$

$\bf (x+3) \cdot(x -5) = 0$

$\bf (x+3) = 0 \implies \blue{\underline{x_{1}=-3}}$

$\bf (x-5) = 0 \implies \blue{\underline{x_{2}=5}}$

$\bf \red{\underline{Suma ~patratelor}}: (-3)^2+5^2=9+25=\red{\underline{34}}$

==pav38==