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Digiron [165]
2 years ago
5

Find the value of x number on top is 6 and other is 9

Mathematics
1 answer:
faltersainse [42]2 years ago
5 0

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

x(x + 9) =  {6}^{2}  \\  \\  {x}^{2}  + 9x = 36 \\  \\  {x}^{2}  + 9x - 36 = 0 \\  \\  {x}^{2}  + 12x - 3x - 36 = 0 \\  \\ x(x + 12) - 3(x + 12) = 0 \\  \\ (x + 12)(x - 3) = 0 \\  \\ x + 12 = 0, \:  \: x - 3 = 0 \\  \\ x =  - 12, \:  \: x = 3 \\  \\

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Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.

To find it, list out all of their factors:

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