Answer/Step-by-step explanation:
All of the solutions to the equation 3x^2 - 12 = 0 are x = 12 and x = -2
Answer: False
Explanation:







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There are two unique solutions to the equations (x-3)^2 = 16
Note: Each variable in the matrix can have only one possible value, and this is how you know that this matrix has one unique solution.
Answer: True
Explanation:


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Ths solutions for the equation 2(x-3)^3 - 18 = 0 are x = 6 and x = 0
Answer: False
Explanation:




![\mathrm{For\:}g^3\left(x\right)=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}](https://tex.z-dn.net/?f=%5Cmathrm%7BFor%5C%3A%7Dg%5E3%5Cleft%28x%5Cright%29%3Df%5Cleft%28a%5Cright%29%5Cmathrm%7B%5C%3Athe%5C%3Asolutions%5C%3Aare%5C%3A%7Dg%5Cleft%28x%5Cright%29%3D%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%2C%5C%3A%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%5Cfrac%7B-1-%5Csqrt%7B3%7Di%7D%7B2%7D%2C%5C%3A%5Csqrt%5B3%5D%7Bf%5Cleft%28a%5Cright%29%7D%5Cfrac%7B-1%2B%5Csqrt%7B3%7Di%7D%7B2%7D)
![=\sqrt[3]{9}+3,\:x=\frac{6-\sqrt[3]{9}}{2}+i\frac{\sqrt[3]{9}\sqrt{3}}{2},\:x=\frac{6-\sqrt[3]{9}}{2}-i\frac{\sqrt[3]{9}\sqrt{3}}{2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B9%7D%2B3%2C%5C%3Ax%3D%5Cfrac%7B6-%5Csqrt%5B3%5D%7B9%7D%7D%7B2%7D%2Bi%5Cfrac%7B%5Csqrt%5B3%5D%7B9%7D%5Csqrt%7B3%7D%7D%7B2%7D%2C%5C%3Ax%3D%5Cfrac%7B6-%5Csqrt%5B3%5D%7B9%7D%7D%7B2%7D-i%5Cfrac%7B%5Csqrt%5B3%5D%7B9%7D%5Csqrt%7B3%7D%7D%7B2%7D)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Answer: False
Explanation:






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




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




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




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






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







<u><em>~Lenvy~</em></u>