2x 2+4x+1 0 Quadratic Formula

$2 \exponential{(x)}{ii} + 4 x = 0 $

10=-ii

x=0

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x\left(2x+iv\right)=0

Gene out x.

ten=0 x=-2

To detect equation solutions, solve 10=0 and 2x+4=0.

2x^{2}+4x=0

All equations of the form ax^{2}+bx+c=0 tin be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. The quadratic formula gives two solutions, ane when ± is addition and one when it is subtraction.

x=\frac{-four±\sqrt{4^{2}}}{2\times two}

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, four for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{ii}-4ac}}{2a}.

x=\frac{-4±4}{2\times 2}

Accept the foursquare root of 4^{2}.

10=\frac{-4±4}{4}

Multiply two times 2.

ten=\frac{0}{iv}

At present solve the equation x=\frac{-4±four}{4} when ± is plus. Add -4 to iv.

x=\frac{-8}{4}

Now solve the equation x=\frac{-4±4}{four} when ± is minus. Subtract iv from -4.

x=0 x=-ii

The equation is at present solved.

2x^{ii}+4x=0

Quadratic equations such as this i tin can be solved past completing the foursquare. In social club to complete the foursquare, the equation must first be in the grade ten^{ii}+bx=c.

\frac{2x^{2}+4x}{2}=\frac{0}{ii}

Divide both sides by 2.

x^{two}+\frac{4}{2}x=\frac{0}{2}

Dividing by 2 undoes the multiplication by 2.

x^{2}+2x=\frac{0}{ii}

Carve up 4 by ii.

x^{2}+2x=0

Divide 0 by 2.

x^{2}+2x+1^{ii}=1^{2}

Divide 2, the coefficient of the x term, by 2 to go 1. Then add the square of 1 to both sides of the equation. This step makes the left hand side of the equation a perfect square.

\left(x+1\right)^{2}=i

Factor ten^{ii}+2x+1. In general, when x^{2}+bx+c is a perfect square, it tin can always be factored as \left(x+\frac{b}{2}\correct)^{ii}.

\sqrt{\left(x+i\right)^{2}}=\sqrt{i}

Have the square root of both sides of the equation.

x=0 x=-2

Subtract one from both sides of the equation.

2x 2+4x+1 0 Quadratic Formula,

Source: https://mathsolver.microsoft.com/en/solve-problem/2%20%7B%20x%20%20%7D%5E%7B%202%20%20%7D%20%20%2B4x%3D0

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