What are the solutions to the equation completesquare r^2+4r+3 ?

The solutions to the equation completesquare r^2+4r+3 are (r+2)^2-1

Find the zeros of completesquare r^2+4r+3

The zeros of completesquare r^2+4r+3 are (r+2)^2-1

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complete the square

r^{2} + 4 r + 3

(r + 2)^{2} - 1

Solution steps

r^{2} + 4 r + 3

Write

r^{2} + 4 r + 3

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

r^{2} + 4 r + 3 + 2^{2} - 2^{2}

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

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

(r + 2)^{2} + 3 - 2^{2}

Simplify

(r + 2)^{2} - 1

3 x^{2} + 2 = 8 x

0 = 12 x^{2} - 160 x + 400

- x^{2} + 49 = - 15

4 1^{2} - 4 0^{2} = x^{2}

3 x^{2} + 4 = x + 8

What are the solutions to the equation completesquare r^2+4r+3 ?
The solutions to the equation completesquare r^2+4r+3 are (r+2)^2-1
Find the zeros of completesquare r^2+4r+3
The zeros of completesquare r^2+4r+3 are (r+2)^2-1