LORIINANGO LORIINANGO

Math

Answered

The rectangular solid has a dimensions of: height =(x-1), length = (x+3) and width= (x-2). Find its dimensions if the volume is 42cm3.

Sagot :

LALABSUGO LALABSUGO

Answer:

h=5

l= 7

w=2

Step-by-step explanation:

h=(x-1) w=(x-2)

l=(x+3) v=42

v=lwh

42=(x+3)(x-2)(x-1)

42=(x³+x-6)(x-1)

42= x³-7x+6

x³-7x+6-42=0

factor

(x-4)(x²-14x+9)=0

x-4 =0 ,x²-14x+9=0

x=4 ,-2+¡√5,-2-¡√5

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