Question

For what values of x'is x2 + 2x = 24 true?

--6 and -4
4 and 6
4 and -6
6 and 4
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Answer 1

`\boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^(2) + 2x = 24 \: is \: -6 \: and \: 4}`

Explanation:

`= > {x}^(2) + 2x = 24 \\ \\ = > {x}^(2) + 2x - 24 = 0 \\ \\ = > {x}^(2) + (6 - 4)x - 24 = 0 \\ \\ = > {x}^(2) + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4`

Values true of 'x' for equation x² + 2x = 24 is -6 and 4