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iogann1982 [59]
2 years ago
14

Solve -x^2 + 4x +10 = 0 by using the "Solving the square method"

Mathematics
1 answer:
Pavel [41]2 years ago
3 0

Answer:

x =  - 2 +  \sqrt{14}  \:  \: or  \:  \: x =  - 2 -  \sqrt{14}

Step-by-step explanation:

{x}^{2}  - 4x - 10 = 0 \\  {x}^{2}  - 4x = 10 \\  {x}^{2}  - 2(2x) = 10 \\  {x }^{2}  - 2(2x) + 4 = 10 + 4 \\ {(x + 2)}^{2}  = 14 \\ x + 2 =  \sqrt{14}  \:  \:  \:  \: or \:  \:  \: x + 2 =  -  \sqrt{14}

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