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(4230-1846)/16=(?)^2-20...

`(4230-1846)/16=(?)^2-20`

A

13

B

`sqrt13`

C

169

D

13`sqrt13`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \((4230 - 1846) / 16 = (?)^2 - 20\), we will follow these steps: ### Step 1: Subtract the numbers in the numerator First, we need to calculate \(4230 - 1846\). \[ 4230 - 1846 = 2384 \] ### Step 2: Divide the result by 16 Next, we divide \(2384\) by \(16\). \[ 2384 / 16 = 149 \] ### Step 3: Set up the equation Now we have the equation: \[ 149 = x^2 - 20 \] ### Step 4: Add 20 to both sides To isolate \(x^2\), we add \(20\) to both sides of the equation. \[ 149 + 20 = x^2 \] \[ 169 = x^2 \] ### Step 5: Take the square root of both sides Now, we take the square root of both sides to find \(x\). \[ x = \sqrt{169} \] \[ x = 13 \] ### Final Answer Thus, the value of \(x\) is \(13\). ---
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