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natali 33 [55]
2 years ago
14

40=3x+x^2 How do I find the answer to this

Mathematics
1 answer:
tamaranim1 [39]2 years ago
8 0

Answer:

x = -8, x = 5

Step-by-step explanation:

This can be solved using Factorization method:

40 = 3x +  {x}^{2}  \\  \\  \implies \:  {x}^{2}  + 3x - 40 = 0 \\  \\   \implies \:  {x}^{2}  + 8x  - 5x- 40 = 0 \\  \\  \implies \:  x({x} + 8)  - 5(x + 8) = 0 \\  \\ \implies \:  ({x} + 8) (x - 5)  = 0 \\  \\ \implies \:  ({x} + 8) = 0 \:  \: or \:  \:  (x - 5)  = 0 \\  \\ \implies \:  x =  - 8 \:  \: or \:  \: x = 5 \\  \\ x =  - 8, \:  \: 5

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