What are the solutions to the equation completesquare 7s^2+6s+1 ?

The solutions to the equation completesquare 7s^2+6s+1 are 7(s+3/7)^2-2/7

Find the zeros of completesquare 7s^2+6s+1

The zeros of completesquare 7s^2+6s+1 are 7(s+3/7)^2-2/7

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complete the square

7 s^{2} + 6 s + 1

7 (s + \frac{3}{7})^{2} - \frac{2}{7}

Solution steps

7 s^{2} + 6 s + 1

Write

7 s^{2} + 6 s + 1

in the form:

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

Factor out

7

7 (s^{2} + \frac{6 s}{7} + \frac{1}{7})

2 a = \frac{6}{7} : a = \frac{3}{7}

Add and subtract

(\frac{3}{7})^{2}

7 (s^{2} + \frac{6 s}{7} + \frac{1}{7} + (\frac{3}{7})^{2} - (\frac{3}{7})^{2})

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

s^{2} + \frac{6}{7} s + (\frac{3}{7})^{2} = (s + \frac{3}{7})^{2}

7 ((s + \frac{3}{7})^{2} + \frac{1}{7} - (\frac{3}{7})^{2})

Simplify

7 (s + \frac{3}{7})^{2} - \frac{2}{7}

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

p^{2} + 13 p - 30 = 0

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

7^{2} + 2^{2} = c^{2}

x, y = - 0.00002 x^{2} + 0.0136 x + 0.1399

What are the solutions to the equation completesquare 7s^2+6s+1 ?
The solutions to the equation completesquare 7s^2+6s+1 are 7(s+3/7)^2-2/7
Find the zeros of completesquare 7s^2+6s+1
The zeros of completesquare 7s^2+6s+1 are 7(s+3/7)^2-2/7