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sasho [114]
3 years ago
8

Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation3x^2 - 12 = 0are x = 12 and x = -12

Solve:

Common factor - 3(x^2-4)=0

Divide both sides

x^2-4=0

Use the quadratic formula

x=\sqrt{4,x}=\sqrt{-4

x = 2, x = -2

Thus, This is false..

-------------------------------------------------------------------------------------------------------------

There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

2x^3-18x^2+54x-72=0

x=5.080084

Hence this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

(x+3)^2=17

x=\sqrt{17-3,}=-\sqrt{17}-3

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

(2x-1)^2=9

x=2, x = -1

Hence this is false.

-------------------------------------------------------------------------------------------------------------

The only solution for equation (2x-1)^2-49=0 is x = 4

(2x-1)^2=49

x = 4, x = -3

Hence, this is false

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

3(x+2)^2=3

(x+2)^2=1

x = -1, x = -3

Hence, this is true

-------------------------------------------------------------------------------------------------------------

The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

5x^2-180+180=0+180

5x^2 = 180

x^2 = 36

x=\sqrt{36},x=-\sqrt{36}

x = 6, x = -6

Hence, this is true.

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

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