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

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

Find the zeros of completesquare d^2-5d

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

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complete the square

d^{2} - 5 d

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

Solution steps

d^{2} - 5 d

Write

d^{2} - 5 d

in the form:

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

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

Add and subtract

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

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

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

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

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

Simplify

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

6 x = 2 x^{2}

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

7 r^{2} = 5 r + 2

- 4 x^{2} + 16 x - 7 = 0

3 m^{2} + 12 m + 7 = 0

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