Question

40=3x+x^2

How do I find the answer to this

Answer 1

x = -8, x = 5

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`