What are the solutions to the equation completesquare m^2+26m ?

The solutions to the equation completesquare m^2+26m are (m+13)^2-169

Find the zeros of completesquare m^2+26m

The zeros of completesquare m^2+26m are (m+13)^2-169

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complete the square

m^{2} + 26 m

(m + 13)^{2} - 169

Solution steps

m^{2} + 26 m

Write

m^{2} + 26 m

in the form:

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

2 a = 26 : a = 13

Add and subtract

1 3^{2}

m^{2} + 26 m + 1 3^{2} - 1 3^{2}

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

m^{2} + 26 m + 1 3^{2} = (m + 13)^{2}

(m + 13)^{2} - 1 3^{2}

Simplify

(m + 13)^{2} - 169

5 x^{2} + 20 x + 18

x (x - 9) = 6^{2}

x^{2} - 8 + 16 = 0

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

b^{2} + 20 b + 46 = - 4

What are the solutions to the equation completesquare m^2+26m ?
The solutions to the equation completesquare m^2+26m are (m+13)^2-169
Find the zeros of completesquare m^2+26m
The zeros of completesquare m^2+26m are (m+13)^2-169