Question

timed problem
score: 1/10 current time: 22.9
which equation is equivalent to the given equation?
$x^2 - 48 = -2x$
answer
$x^2 + 2x + 48 = 0$ $x^2 - 2x + 48 = 0$ $x^2 - 2x - 48 = 0$ $x^2 + 2x - 48 = 0$

Explanation:

Step1: Move all terms to left side

Given equation \(x^2 - 48 = -2x\), add \(2x\) to both sides: \(x^2 + 2x - 48 = -2x + 2x\)

Step2: Simplify the equation

Simplify right side (since \(-2x + 2x = 0\)): \(x^2 + 2x - 48 = 0\)

Answer:

\(x^2 + 2x - 48 = 0\) (the fourth option, assuming the options are ordered left to right as presented: the first option has a typo, the second is \(x^2 - 2x + 48 = 0\), the third is \(x^2 - 2x - 48 = 0\), the fourth is \(x^2 + 2x - 48 = 0\))