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Answer:
Determine the Real roots of each equation.
1.x-2=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = 2} \][/tex]
2.x+3=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -3} \][/tex]
3.x(x-4)=0
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\[ \boxed{\color{red} x = 0, x = 4} \][/tex]
4.(x+1)(x-3)=0
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -1, x = 3} \][/tex]
5.x²+x-2=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -2, x = 1} \][/tex]
6.x²(x-9)(2x+1)=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = 0, x = 9, x = -\frac{1}{2}} \][/tex]
7.(x+4)(x²-x+3)=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -4} \][/tex]
8.2x(x²-36)=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = 0, x = 6, x = -6} \] \: [/tex]
9.(x+8)(x-7)(x²-2x+5)=0
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -8, x = 7} \][/tex]
10.(3x+1)²(x+7)(x-2)⁴=0
[tex] \: \: \: \: \: \: \: \: \: \[ \boxed{\color{red} x = -\frac{1}{3}, x = -7, x = 2} \][/tex]
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