what formula should i use to solve this quadratic formula?
2x2 + 4x + 2 = 0.
I can't type in the formula because of the typing options but go to purplemath or mathwarehouse to get help.
actualy you can factor out 2
To solve a quadratic equation like 2x^2 + 4x + 2 = 0, you can use the quadratic formula. The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this formula, a, b, and c represent the coefficients of the quadratic equation. Comparing the given equation to the general form of a quadratic equation ax^2 + bx + c = 0, we can assign the following values:
a = 2
b = 4
c = 2
Now you can substitute these values into the quadratic formula and solve for x. Plugging in the values, we get:
x = (-(4) ± √((4)^2 - 4(2)(2))) / (2(2))
Simplifying further:
x = (-4 ± √(16 - 16)) / 4
x = (-4 ± √(0)) / 4
Since the discriminant (the expression inside the square root) is zero, the quadratic equation has a perfect square trinomial as a solution. Consequently, the equation has one real solution, and there is no need for the ± sign. Simplifying:
x = -4 / 4
x = -1
So the solution to the quadratic equation 2x^2 + 4x + 2 = 0 is x = -1.
There are different ways to solve a quadratic equation. The problem can most easily be solved by factoring.
2x²+4x+2 = 0
2(x²+2x+1) = 0
2(x+1)² = 0
therefore x+1=0.
Can you take it from here?