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nikdorinn [45]
2 years ago
9

Solve (x² - 16)(x² - 9) = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

x=-4,4,-3,3

Step-by-step explanation:

<u>Factor</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>difference</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>squares</u>

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

{x}^{2}  - 16 = (x + 4)(x - 4) \\  {x}^{2}  - 9 = (x + 3)( x - 3)

(x + 4)(x - 4)(x + 3)(x - 3) = 0

Therefore, our answer is x = -4,4,-3,3

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Order the measurements from the least to the greatest. 2,720 mL , 24.91 L , 0.0268 kL
iren [92.7K]
2720ml=2.720L
0.0268kl=26.8L
24.91l
Therefore
2720ml , 24.91L, 0.0268kl
Is the correct order
8 0
3 years ago
Read 2 more answers
Apr 17, 1:42:09 AM
SVEN [57.7K]

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

3 0
2 years ago
Doris takes a survey of her class and finds that 2 of the 20 students in class are left-handed.
djyliett [7]
Hey there, Alex!


She would expect 55 of them to be left handed.


Work: 550 / 20 = 27.5

27.5 x 2 = 55


Hope I was able to help!
6 0
3 years ago
Factor the following polynomial completely. 5x4+20x3-105x2
worty [1.4K]

Answer:

5x^{2}(x+7)(x-3)

Step-by-step explanation:

5x4+20x3-105x2

5x2( x^2 +4x -21)

5x^{2}(x+7)(x-3)

4 0
2 years ago
Read 2 more answers
What is the remainder when x^2-5x-22 is divided by x+3?
Zielflug [23.3K]
First, you need to find the zero of x+3, which is -3
then you multiply -3×1, which equals -3
the reason why I multiplied -3×1 is because the 1 is the coefficient of x^2 but we just don't see it because we don't need to.
once we get -3 we add that to the next coefficient (-5)
-3+-5=-8
we take the sum (-8) and multiply that to -3 (the zero of x+3)
we get 24, so we add -22+24=2
-22 Is the next coefficient to come and 2 is our remainder
the new equation is: x-8 remainder 2
5 0
3 years ago
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