What are the solutions to the equation completesquare y^2-5y ?

The solutions to the equation completesquare y^2-5y are (y-5/2)^2-25/4

Find the zeros of completesquare y^2-5y

The zeros of completesquare y^2-5y are (y-5/2)^2-25/4

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complete the square

y^{2} - 5 y

(y - \frac{5}{2})^{2} - \frac{25}{4}

Solution steps

y^{2} - 5 y

Write

y^{2} - 5 y

in the form:

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

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

y^{2} - 5 y + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

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

y^{2} - 5 y + (- \frac{5}{2})^{2} = (y - \frac{5}{2})^{2}

(y - \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

Simplify

(y - \frac{5}{2})^{2} - \frac{25}{4}

10 x^{2} - 11 x + 1 = 0

3 x^{2} = 8 x + 1

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

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

s^{2} + s^{2} = 2 6^{2}

What are the solutions to the equation completesquare y^2-5y ?
The solutions to the equation completesquare y^2-5y are (y-5/2)^2-25/4
Find the zeros of completesquare y^2-5y
The zeros of completesquare y^2-5y are (y-5/2)^2-25/4