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  • 29-06-2022
  • Mathematics
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Solve the following by completing the square y=x^2+10

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abidemiokin
abidemiokin abidemiokin
  • 30-06-2022

The resulting equation on using the completing the square is y = (x+5)² - 25

Completing the square method

The quadratic equation has a leading degree of 2. Given the equation below;

y = x^2+10x

Add the square of the half of coefficient of x to have;

y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²

y = x^2 + 10x  + 25 - 25

y = (x+5)² - 25

Hence the resulting equation on using the completing the square is y = (x+5)² - 25

Learn more on completing the square here: https://brainly.com/question/1596209

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