How do you solve #x^2-2x+6=0# by completing the square?
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the equation x^2 - 2x + 6 = 0 by completing the square, follow these steps:
-
Move the constant term to the other side of the equation: x^2 - 2x = -6
-
Take half of the coefficient of x, square it, and add it to both sides of the equation: x^2 - 2x + (-2/2)^2 = -6 + (-2/2)^2 x^2 - 2x + 1 = -6 + 1 x^2 - 2x + 1 = -5
-
Rewrite the left side of the equation as a perfect square trinomial and simplify the right side: (x - 1)^2 = -5
-
Take the square root of both sides: x - 1 = ±√(-5)
-
Add 1 to both sides: x = 1 ± √(-5)
-
Since the square root of a negative number is imaginary, the solution is complex: x = 1 ± i√5
So, the solutions to the equation x^2 - 2x + 6 = 0 are x = 1 + i√5 and x = 1 - i√5.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do find the vertex and axis of symmetry for a quadratic equation #y=-x^2+2x-5#?
- How do you find the area of the rectangle with vertices A(-3,0), B(-2,-1), C(1,2), D(0,3)?
- How do you solve for x in #a^2x+b^2x+7=3c#?
- How do you find the vertex and intercepts for #y=(-x-1)(x+7)#?
- How do you use the quadratic formula to find both solutions to the quadratic equation #17x^2 = 12x #?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7