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cluponka [151]
2 years ago
15

X/2-8=19 what is the answer for this equation

Mathematics
2 answers:
ohaa [14]2 years ago
7 0

Answer: 23

Step-by-step explanation:

X/2 - 8 = 19

Tewrite the equation as x/2 - 8/1 =19

=x - 4= 19

Add 4 to both sides of the equation

x = 19 + 4

x = 23

Ilya [14]2 years ago
3 0

Answer:

x=38wh + 16

Step-by-step explanation:

multiply both sides of the equation by 2

move the constant to the right

find the final solution

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How do you factor 125-x^3?
xz_007 [3.2K]

Step-by-step explanation:

We have

125 - x {}^{3}

First, 125 is a perfect cube because

5 \times 5 \times 5 = 125

and

x^3 is a perfect cube because

x \times  x \times x = x {}^{3}

so we can use the difference of cubes identity

( {x}^{3}  -  {y}^{3} ) = (x - y)( {x}^{2}  + xy +  {y}^{2} )

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

64 - 27

we know that

64 - 27 = 37

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

(4 - 3)( {4}^{2}  + 4(3) + 3 {}^{2} )

1(16 + 12 + 9) = 1(37) = 37

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

(5 - x)( {5}^{2}  + 5x +  {x}^{2} ) =

(5 - x)(25 + 5x +  {x}^{2} )

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