PLZ HELP.

What number should be added to both sides of the equarion to complete the square?

x² - 6x=5

x² - 6x=5

What to do:

Subtract 5 from both sides of the equation. x2−6x=−5

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b. (b2)2=(−3)2

Add the term to each side of the equation. x2−6x+(−3)2=−5+(−3)2

Simplify the equation:

Raise −3 to the power of 2.x2−6x+9=−5+(-3)2

Simplify −5+(-3)2.

x2−6x+9=4

Factor the perfect trinomial square into (x−3)2.(x−3)2=4

Solve the equation for x:

(x-3)2=4

Solve the equation for x:

Take the square root of each side of the equation to set up the solution for

x. (x−3)2⋅12=±√4

Remove the perfect root factor x−3 under the radical to solve for x:

x−3=±√4

Simplify the right side of the equation:

x−3=±2

The complete solution is the result of both the positive and negative portions of the solution.

x=5,1

Explanation:

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