Question

Porfa ayuda es para un examen ahorita

Answer 1

Respuestas:

02.-

x = 4 ; x = 1/2 ;

(x - 4)(x - 1/2) = 0

x(x) + x(-1/2) +(-4)(x) + (-4)(-1/2) = 0

x² -1/2x - 4x + 4/2 = 0

x² - 9x/2 + 2 = 0

03.-

2x² - 14x + 12 = 0

(2x - 2) ( x -6) = 0

2x - 2 = 0 ; 2x = 2 ; x = 1

x - 6 = 0 ; x = 6

El triple de la suma = 3(1+6)= 21

04.-

x² - 5x + m = 0

(3)² - 5(3) + m = 0

9 - 15 + m = 0

m = 6

05.-

3x² - 1x + k = 0

(-1)² - 4(3)(k) =25

1 - 12k = 25

1 - 25 = 12k

-24 = 12k

-24/12 = k

k = -2

06.-

(x+2)(x-4)=0

x² -2x - 8 = 0

x² -2x - 8 = x² + ax + b

b = -8

07.-

x²+15x+56<0

(x+7)(x+8) < 0

-8 < x < -7

Intervalo: (-8, -7)

08.-

$\left(5x-2\right)^2-\left(3x+1\right)^2-x^2-60\le 0\\\left(15x+19\right)\left(x-3\right)\le \:0\\-\frac{19}{15}\le \:x\le \:3$

Intervalo: $\:\left[-\frac{19}{15},\:3\right]$