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jek_recluse [69]
3 years ago
13

Solve the following equation for x.

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

Answer:

c

Step-by-step explanation:

6x² + 54x + 120 = 0

divide by 6

x² + 9x + 20 = 0

(x² + 5x) + (4x + 20) = 0

x(x + 5) + 4(x + 5) = 0

(x + 4) (x + 5) = 0

x + 4 = 0, x + 5 = 0

x = -4, x = -5

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x(x + 2) = 15 \\  \\  {x}^{2}  + 2x = 15 \\  \\  {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  + 5x - 3x - 15 = 0 \\  \\ x(x + 5) - 3(x + 5) = 0 \\  \\ (x + 5)(x - 3) = 0 \\  \\ x + 5 = 0 \: or \:  \: x - 3 = 0 \\  \\ x =  - 5  \:  \: or \:  \: x = 3 \\  \\  \because \: x \: can \: not \: be \:  - ve \\  \\  \therefore \: x = 3 \\   \\  \implies \: x + 2 = 3 + 2 = 5 \\  \\ perimeter \: of \: rectngle  \\ = 2(5 + 3)  \\  = 2 \times 5 \\  = 16 \: ft

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