What are the solutions to the equation completesquare p^2+12p-54 ?

The solutions to the equation completesquare p^2+12p-54 are (p+6)^2-90

Find the zeros of completesquare p^2+12p-54

The zeros of completesquare p^2+12p-54 are (p+6)^2-90

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complete the square

p^{2} + 12 p - 54

(p + 6)^{2} - 90

Solution steps

p^{2} + 12 p - 54

Write

p^{2} + 12 p - 54

in the form:

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

2 a = 12 : a = 6

Add and subtract

6^{2}

p^{2} + 12 p - 54 + 6^{2} - 6^{2}

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

p^{2} + 12 p + 6^{2} = (p + 6)^{2}

(p + 6)^{2} - 54 - 6^{2}

Simplify

(p + 6)^{2} - 90

x, 2 a x^{2} + 4 a x - 6 a = 0

x^{2} + 10 x + 25 = 9

2 x - x^{2} = x

t, 2 s = g t^{2} + v t

x^{2} + 10 x + 24 = 3

What are the solutions to the equation completesquare p^2+12p-54 ?
The solutions to the equation completesquare p^2+12p-54 are (p+6)^2-90
Find the zeros of completesquare p^2+12p-54
The zeros of completesquare p^2+12p-54 are (p+6)^2-90