Questions: 2-x^2= when x=-2.455

2-x^2= when x=-2.455
Transcript text: 2-x^{2}=\square \text { when } x=-2.455
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Solution

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Solution Steps

Step 1: Substitute the value of \( x \) into the equation

Given the equation: \[ 2 - x^{2} = \square \] and \( x = -2.455 \), substitute \( x \) into the equation: \[ 2 - (-2.455)^{2} = \square \]

Step 2: Calculate \( x^{2} \)

Calculate \( (-2.455)^{2} \): \[ (-2.455)^{2} = 6.027025 \]

Step 3: Subtract \( x^{2} \) from 2

Subtract \( 6.027025 \) from \( 2 \): \[ 2 - 6.027025 = -4.027025 \]

Step 4: Round the result to four significant digits

Round \( -4.027025 \) to four significant digits: \[ -4.027 \]

Final Answer

\[ \boxed{-4.027} \]

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