The reason you use the Quadratic method is because certain equations can't be factored. So let's start by defining the Quadratic Formula.
x = [-b +- √b2 - 4ac]/2a
For this equation, there are no factors of 6 that when added will equal 6, so we need to use the Quadratic Formula. Now let's find a, b, and c. The equation x2 - 6x + 6 = 0 is in the Standard Form of ax2 + bx + c = 0, so we just need to compare.
a = 1, b = -6, and c = 6
Now that we have a, b, and c defined, fill in the Quadratic Formula
x = [-(-6) +- √(-6)2 - 4(1)(6)]/2(1)
x = [ 6 +- √36 - 24]/2
x = [ 6 +- √12]/2
x = [ 6 +- 2√3]/2
x = (6/2) +- [(2√3)/2]
x = 3 +- √3
So, you have two possible answers: 3 + √3 and 3 - √3. Now you need to check each answer to make sure both are valid.
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It can be solved by using the quadratic equation formula.
Using the quadratic equation formula:- x = 3.795831523 or x = -5.795831523
Solve using the quadratic formula
The roots of the quadratic equation are the x-intercepts of the curve.
That won't factor neatly, so we apply the quadratic formula. x = -8 plus or minus 2 times the square root of 5 x = -3.5278640450004204 x = -12.47213595499958
It can be solved by using the quadratic equation formula.
x=-1 ^ how do you know?
y=±√15
Quadratic equation formula
Using the quadratic equation formula:- x = 3.795831523 or x = -5.795831523
Solve using the quadratic formula
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
It is used to solve quadratic equations that cannot be factored. Usually you would factor a quadratic equation, identify the critical values and solve, but when you cannot factor you utilize the quadratic equation.
The roots of the quadratic equation are the x-intercepts of the curve.
y=b+x+x^2 This is a quadratic equation. The graph is a parabola. The quadratic equation formula or factoring can be used to solve this.
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
It can't be solved because the discriminant of this quadratic equation is less than zero