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kakasveta [241]
4 years ago
10

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

Mathematics
1 answer:
Paladinen [302]4 years ago
7 0

Answer:

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

Step-by-step 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

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