Question

30 points for anyone that can help please?

a) Solve for x

15 -2x / 3 = 4

b) Factorize

x^2-23x +42

c) Solve the two possible answers below

x^2 -23x +42 = 0

Answer 1

A) 1.5

B) x^2-23x+42 = (x-2)(x-21)

C) x=2, x=21

Explanation:

a) 15 -2x / 3 = 4

15-2x = 12 (Times by three on both sides)

-2x = -3

x = -3/-2 = 3/2 = 1.5

b) x^2-23x+42

x^2-23x+42 = (x-2)(x-21)

c) x^2 -23x +42 = 0

x=2, x=21

(x-2) = 0 ⇒ x = 2

(x-21) = 0 ⇒ x = 21

Answer 2

a) x = 1.5

b) (x-21)(x-2)

c) x = 2, 21

Explanation:

a) Solve for x

(15 -2x)/3 = 4

15-2x = 12

2x = 3

x = 1.5

b) Factorize

x²-23x +42

x²-21x-2x+42

x(x-21)-2(x-21)

(x-21)(x-2)

c) Solve the two possible answers below

x^2 -23x +42 = 0

(x-21)(x-2) = 0

x = 2, 21