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Solving the equation by completing the square method


In elementary algebra practice, completing the square is a technique for converting a quadratic polynomial of the form
ax^2 + bx + c\,\!
to the form
 a(\cdots\cdots)^2 + \mbox{constant}.\,
In this context, "constant" means not depending on x. Evaluate the expression inside the parenthesis is of the form (x − constant). Thus one converts ax2 + bx + c to
 a(x - h)^2 + k\,
and one must find h and k.
Question:-

Solve the equation by completing the square method

x2-8x+12=0

Answer:-
now we solve this quadratic equation by completing the square method
x2-8x = -12


x2-8x+(8/2)2=(8/2)2-12


x2-8x+16=16-12

(x-4)2=4

taking the square root on both sides,or we can use square root calculator

√(x-4)2=√4

x-4 = ±2

x-4 = +2 or x-4 = -2

x=6 or x=2

so the answers are x=6 or 2

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