77.8k views
5 votes
DADAS LAS SIGUIENTES ECUACIONES, HALLAR EL CONJUNTO SOLUCIÓN: A. X2 – 3X – 40 = 0 B. 5X2 + 6X - 8 = 0

1 Answer

4 votes

Answer:

A) X = -5 , X = 8

B) X = 4/5 , X = -2

Explanation:

A. X² - 3X - 40 = 0

Nosotros factorizamos

X² - 8X + 5X - 40 = 0

(X² - 8X) + (5X - 40) = 0

X(X - 8) + 5(X - 8) = 0

(X + 5) (X - 8) = 0

X + 5 = 0

X = -5

X - 8 = 0

X = 8

X = -5 , X = 8

B. 5X² + 6X - 8 = 0

Nosotros factorizamos

5X² + 10X - 4X - 8 = 0

(5X² + 10X) - (4X - 8) = 0

5X(X + 2) -4(X + 2) = 0

(5X - 4) (X + 2) = 0

5X - 4 = 0

5X = 4

X = 4/5

X + 2 = 0

X = -2

X = 4/5 , X = -2

User MichaelMao
by
3.8k points