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

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

Find the zeros of completesquare t^2+26t

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

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complete the square

t^{2} + 26 t

(t + 13)^{2} - 169

Solution steps

t^{2} + 26 t

Write

t^{2} + 26 t

in the form:

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

2 a = 26 : a = 13

Add and subtract

1 3^{2}

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

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

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

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

Simplify

(t + 13)^{2} - 169

8 x^{2} + 33 x + 4 = 0

8 x^{2} - 7 x + 3 = 0

5 x^{2} + 30 x + 24 = 64

6 x^{2} - 25 x + 24 = 0

t, y = v t + \frac{1}{2} a t^{2}

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