How do you solve $(x- 5/2) ^2 = 9/4$ ?

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Answer 1 · 2016-06-27T12:45:46

$x = 4 or x = 1$

Find the square root of both sides, remembering that there can be a positive or negative root.

$(x - 5/2)^2 = 9/4$

$sqrt((x - 5/2)^2) = +-sqrt(9/4)$

$x - 5/2 = 3/2 " or " x -5/2 = -3/2$

$x = 3/2+5/2 " or " x = -3/2+5/2$

$x = 8/2 " or "x = 2/2$

$x = 4 or x = 1$

How do you solve (x- 5/2) ^2 = 9/4(x- 5/2) ^2 = 9/4?