Question

solve the quadratic equation
6 + x = x2​

Answer 1

Answer:

$6 + x = {x}^{2} \\ = {x}^{2} - x - 6 = 0 \\ = {x}^{2} - 3x + 2x - 6 = 0 \\ = x(x - 3) + 2(x - 3) = 0 \\ = (x - 3)(x + 2) = 0 \\ x = 3 \: \: and \: - 2$

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Answer 2

Answer:

x = 3(or)-2

Step-by-step explanation:

$6 +x = {x}^{2} \\ = > 6 + x - {x}^{2} = 0 \\ = > 6 + 3x - 2x - {x}^{2} = 0 \\ = > 3(2 + x) - x(2 + x) = 0\\ = > (3 - x)(2 + x) = 0 \\ = > - x = - 3 \: or \: x = - 2 \\ = > x = \frac{ - 3}{ - 1} \: or \: x = - 2 \\ = > x = 3 \: or \: - 2$