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3 years ago

What equation results from completing the square and then factoring? x2+4x=7

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

(x+2) ^2 =11

Step-by-step explanation:

x^2+4x=7

To complete the square, take the coefficient of the x term, 4

Then divide by 2, 4/2 =2

Then square it 2^2 =4

Add that to both sides

x^2 +4x+4 = 7+4

The left hand side can be rewritten as (x+b/2) ^2 where b is the coefficient of the x term

(x+2) ^2 =11

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3 years ago

Tanisha is thinking of two numbers. The sum of the numbers is 5. If the lesser number is subtracted from the greater number the

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For this case we have the following system of equations:

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We substitute in the second equation:

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We subtract 5 from both sides of the equation:

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We divide -2 on both sides of the equation:

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Answer:

See attached image $(x, y) :( 6, -1)$

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