x^2-4x+6=0 by completing square method
Answers
Answer:
x = 2+√2i,x =2-√2i
Step-by-step explanation:
x²-4x+6=0
x²-4x= -6
x²-2.2x= -6
or, x²-2x.2= -6
on adding square of 2 both sides
x²-2x.2+(2)²= -6+(2)²
(x-2)²= -6+4
(x-2)² = -2
taking square root,
x-2 = ± √-2
taking + sign , taking - sign
x-2= √-2 x-2= -√-2
x= 2+ √-2 x= 2-√-2
x=2+√2i x =2-√2i
Answer:
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Algebra Examples
Popular Problems Algebra Solve by Completing the Square x^2-4x-6=0
x2−4x−6=0
Add 6 to both sides of the equation.
x2−4x=6
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=(−2)2
Add the term to each side of the equation.
x2−4x+(−2)2
=6+(−2)2
Simplify the equation.
Step-by-step explanation:
x2−4x+4=10
Factor the perfect trinomial square into
(x−2)2(x−2)2=10
Solve the equation for
x
x=±√10+2
The result can be shown in multiple forms.
Exact Form:
x
=
±
√
10
+
2
Decimal Form:
x
=
5.16227766
…
,
−
1.16227766
…