FACTORIZA Y HALA LAS RACES DE LAS ECUACIONES INCOMPLETAS : a) x² - 9 = 0 b) 25x² - 49 = 0 c) x² - 6x = 0 d) 2x² - 9 = 0 e) 100x² - 1 = 0 f) x² + 5x = 0.
ax² + bx + c = 0
X ^ 2 - 9 = (x - 3)(x + 3) = 0 x1 = 3 x2 = - 3
25x ^ 2 - 49 = (5x - 7)(5x + 7) = 0 x1 = 7 / 5 x2 = - 7 / 5
x ^ 2 - 6x = x(x - 6) = 0 x1 = 0 x2 = 6
2x ^ 2 - 9 = ( \ / 2x - 3)( \ / 2x + 3) = 0 x1 = 3 / \ / 2 = 3 \ / 2 / 2 x2 = - 3 / \ / 2 = - 3 \ / 2 / 2
100x ^ 2 - 1 = (10x - 1)(10x + 1) = 0 x1 = 1 / 10 x2 = - 1 / 10
x ^ 2 + x = x(x + 1) = 0 x1 = 0 x2 = - 1.
A) x ^ 2 - 9 = (x - 3)(x + 3) = 0 x1 = 3 x2 = - 3
b)25x ^ 2 - 49 = (5x - 7)(5x + 7) = 0 x1 = 7 / 5 x2 = - 7 / 5
c) x ^ 2 - 6x = x(x - 6) = 0 x1 = 0 x2 = 6
d) 2x ^ 2 - 9 = ( \ / 2x - 3)( \ / 2x + 3) = 0 x1 = 3 / \ / 2 = 3 \ / 2 / 2 x2 = - 3 / \ / 2 = - 3 \ / 2 / 2
e) 100x ^ 2 - 1 = (10x - 1)(10x + 1) = 0 x1 = 1 / 10 x2 = - 1 / 10
f) x ^ 2 + x = x(x + 1) = 0 x1 = 0 x2 = - 1.
Resolver. X² = - 2x x² + 2x = 0 Factorizas sacas factor comun x x(x + 2) = 0 Tiene 2 soluciones reales x = 0 o x + 2 = 0 x = - 2 Solucion (0 , - 2).
X² - 11xy - 42y² = (x - 14y)(x + 3y).
Completa : x ^ 2 + bx + c = 0, en esta se puede factorizar o por la fórmula general se halla sus raÍces Incompleta : x ^ 2 + bx = 0, en esta solo factorizar y sa halla sus raíces . X ^ 2 + c = 0, en esta solo se halla…