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If using the method of completing the square to solve the quadratic equation

x² + 14x + 3 = 0, which number would have to be added to "complete the
square"?
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Final answer:

To complete the square in the quadratic equation x² + 14x + 3 = 0, add the number 49.


Step-by-step explanation:

To complete the square in the quadratic equation x² + 14x + 3 = 0, we need to find a number to add that will allow us to rearrange the equation into a perfect square trinomial. The formula to complete the square for the equation ax² + bx + c = 0 is (b/2a)². In this case, a = 1 and b = 14, so the number that needs to be added to complete the square is (14/2)^2 = 7^2 = 49.


Learn more about Completing the square in quadratic equations

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