What number needs to be added to both sides of the equation to complete the square? x^2−7x=5 enter your answers in the boxes.

ANSWER

We need to add half the coefficient of all square.

EXPLANATION

Given the equation,

.

We compare to the general equation,

This means that;

To complete the square we add,

That is .

Hence the number to be added to both sides is .

Note that before we complete the square, the coefficient of the term in must always be 1.

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