What are the solutions to the equation completesquare 5x^2+20x+17 ?

The solutions to the equation completesquare 5x^2+20x+17 are 5(x+2)^2-3

Find the zeros of completesquare 5x^2+20x+17

The zeros of completesquare 5x^2+20x+17 are 5(x+2)^2-3

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complete the square

5 x^{2} + 20 x + 17

5 (x + 2)^{2} - 3

Solution steps

5 x^{2} + 20 x + 17

Write

5 x^{2} + 20 x + 17

in the form:

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

Factor out

5

5 (x^{2} + 4 x + \frac{17}{5})

2 a = 4 : a = 2

Add and subtract

2^{2}

5 (x^{2} + 4 x + \frac{17}{5} + 2^{2} - 2^{2})

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

x^{2} + 4 x + 2^{2} = (x + 2)^{2}

5 ((x + 2)^{2} + \frac{17}{5} - 2^{2})

Simplify

5 (x + 2)^{2} - 3

4 x^{2} - x = 8

4 x^{2} - 10 x + 4 = 0

(x + 3)^{2} - 1 = 0

2 x^{2} + 64 = 0

7 x^{2} + 12 x - 4 = 0

What are the solutions to the equation completesquare 5x^2+20x+17 ?
The solutions to the equation completesquare 5x^2+20x+17 are 5(x+2)^2-3
Find the zeros of completesquare 5x^2+20x+17
The zeros of completesquare 5x^2+20x+17 are 5(x+2)^2-3