To determine what George did wrong in solving the quadratic equation \( x^2 + 4x - 5 = 7 \), let's first rewrite the equation in standard form:
-
Start with the original equation:
\[ x^2 + 4x - 5 = 7 \]
-
Subtract 7 from both sides to set the equation to 0:
\[ x^2 + 4x - 5 - 7 = 0 \]
Which simplifies to:
\[ x^2 + 4x - 12 = 0 \]
Now, George may have made a mistake in one of several areas including:
- Incorrectly moving terms from one side of the equation to the other.
- Incorrect coefficients or constants when applying the quadratic formula or completing the square.
- Errors in calculations or simplifications within the table.
If the table contains steps George took, we would need to examine them for specific calculation errors. However, without seeing the content of the table, we cannot determine the specific error.
To summarize, please look for discrepancies in how he rewrote the equation or performed subsequent calculations like applying the quadratic formula. If you can provide details from the table, I can help identify the exact mistake.
1 answer