In elementary algebra practice, completing the square is a technique for converting a quadratic polynomial of the form
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
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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