What are the solutions to the equation completesquare m^2+5m ?

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

Find the zeros of completesquare m^2+5m

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

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complete the square

m^{2} + 5 m

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

Solution steps

m^{2} + 5 m

Write

m^{2} + 5 m

in the form:

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

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

Add and subtract

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

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

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

m^{2} + 5 m + (\frac{5}{2})^{2} = (m + \frac{5}{2})^{2}

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

Simplify

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

6 x^{2} + 25 x + 4 = 0

x^{2} + 4 x - 320 = 0

(2 r + 1)^{2} + (r - 3)^{2} = 6

12 x^{2} - 8 x - 4 = 0

7 x^{2} + 56 x - 22 = 0

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