Answer:
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
Step-by-step explanation: