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nadezda [96]
3 years ago
7

Using the method of completing the square to solve the quadratic equation ::

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

{x}^{2}  - 20x + 24 = 0 \\ ( {x}^{2}  + 2 \times 10 \times x  +  {10}^{2})  -  {10}^{2} + 64 = 0 \\  {(x - 10)}^{2}  - 100 + 64 = 0 \\  {( x - 10)}^{2}  - 36 = 0 \\    {(x - 10)}^{2}  = 36 \\ (x - 10) =  \pm 6 \\ x = 10 \pm 6 \\  x = 10 + 6 \:  \: or \:  \: x = 10 - 6 \\   x = 16 \:  \: or \:  \: x = 4

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Step-by-step explanation:

Given

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Required

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<em>The question has missing options; however, the question can still be solved.</em>

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