What are the solutions to the equation completesquare 36x^2-4x-35/9 ?

The solutions to the equation completesquare 36x^2-4x-35/9 are 36(x-1/18)^2-4

Find the zeros of completesquare 36x^2-4x-35/9

The zeros of completesquare 36x^2-4x-35/9 are 36(x-1/18)^2-4

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complete the square

36 x^{2} - 4 x - \frac{35}{9}

36 (x - \frac{1}{18})^{2} - 4

Solution steps

36 x^{2} - 4 x - \frac{35}{9}

Write

36 x^{2} - 4 x - \frac{35}{9}

in the form:

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

Factor out

36

36 (x^{2} - \frac{x}{9} - \frac{35}{324})

2 a = - \frac{1}{9} : a = - \frac{1}{18}

Add and subtract

(- \frac{1}{18})^{2}

36 (x^{2} - \frac{x}{9} - \frac{35}{324} + (- \frac{1}{18})^{2} - (- \frac{1}{18})^{2})

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

x^{2} - \frac{1}{9} x + (- \frac{1}{18})^{2} = (x - \frac{1}{18})^{2}

36 ((x - \frac{1}{18})^{2} - \frac{35}{324} - (- \frac{1}{18})^{2})

Simplify

36 (x - \frac{1}{18})^{2} - 4

x^{2} - 6 x + 30 = 0

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

x, 4 x^{2} + y^{2} - 8 x + 4 = 0

8 x = 3 - 4 x^{2}

x^{2} - 6 x + 32 = 0

What are the solutions to the equation completesquare 36x^2-4x-35/9 ?
The solutions to the equation completesquare 36x^2-4x-35/9 are 36(x-1/18)^2-4
Find the zeros of completesquare 36x^2-4x-35/9
The zeros of completesquare 36x^2-4x-35/9 are 36(x-1/18)^2-4