What are the solutions to the equation completesquare 3x^2+6x+5 ?

The solutions to the equation completesquare 3x^2+6x+5 are 3(x+1)^2+2

Find the zeros of completesquare 3x^2+6x+5

The zeros of completesquare 3x^2+6x+5 are 3(x+1)^2+2

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complete the square

3 x^{2} + 6 x + 5

3 (x + 1)^{2} + 2

Solution steps

3 x^{2} + 6 x + 5

Write

3 x^{2} + 6 x + 5

in the form:

x^{2} + 2 a x + a^{2}

Factor out

3

3 (x^{2} + 2 x + \frac{5}{3})

2 a = 2 : a = 1

Add and subtract

1^{2}

3 (x^{2} + 2 x + \frac{5}{3} + 1^{2} - 1^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

3 ((x + 1)^{2} + \frac{5}{3} - 1^{2})

Simplify

3 (x + 1)^{2} + 2

5 x^{2} + 10 x + 50 = 0

h^{2} = 2^{2} + 2 2.3

3 x^{2} + 6 x - 7

x^{2} = 225

5 x^{2} + 4 x = 2 x^{2} + 7 x

What are the solutions to the equation completesquare 3x^2+6x+5 ?
The solutions to the equation completesquare 3x^2+6x+5 are 3(x+1)^2+2
Find the zeros of completesquare 3x^2+6x+5
The zeros of completesquare 3x^2+6x+5 are 3(x+1)^2+2