What are the solutions to the equation completesquare {(sqrt(3))/2 (p-2)}^2 ?

The solutions to the equation completesquare {(sqrt(3))/2 (p-2)}^2 are 3/4 (p-2)^2

Find the zeros of completesquare {(sqrt(3))/2 (p-2)}^2

The zeros of completesquare {(sqrt(3))/2 (p-2)}^2 are 3/4 (p-2)^2

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complete the square

{\frac{3}{2} (p - 2)}^{2}

\frac{3}{4} (p - 2)^{2}

Solution steps

{\frac{3}{2} (p - 2)}^{2}

Write in the standard form

a x^{2} + b x + c

\frac{3 p ^{2}}{4} - 3 p + 3

Write

\frac{3 p ^{2}}{4} - 3 p + 3

in the form:

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

Factor out

\frac{3}{4}

\frac{3}{4} (p^{2} - 4 p + 4)

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

\frac{3}{4} (p^{2} - 4 p + 4 + (- 2)^{2} - (- 2)^{2})

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

p^{2} - 4 p + (- 2)^{2} = (p - 2)^{2}

\frac{3}{4} ((p - 2)^{2} + 4 - (- 2)^{2})

Simplify

\frac{3}{4} (p - 2)^{2}

6^{2} + x^{2} = 100

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

(x + 4)^{2} = 5

(x + 4)^{2} = 8

z^{2} - 3 z = 0

What are the solutions to the equation completesquare {(sqrt(3))/2 (p-2)}^2 ?
The solutions to the equation completesquare {(sqrt(3))/2 (p-2)}^2 are 3/4 (p-2)^2
Find the zeros of completesquare {(sqrt(3))/2 (p-2)}^2
The zeros of completesquare {(sqrt(3))/2 (p-2)}^2 are 3/4 (p-2)^2