Question
Real Tutor Solution
Tutor-Verified Answer
Answer
Шешімдері:
\[
x = 3 \quad \text{және} \quad x = -17
\]
Solution
Шешу:
\(|x + 7| = 10\)
Абсолюттік мән теңдеуін шешу үшін, ішіндегі өрнектің оң және теріс мәндерін қарастырамыз.
1. \(x + 7 = 10\)
\[
x = 10 - 7 \\
x = 3
\]
2. \(x + 7 = -10\)
\[
x = -10 - 7 \\
x = -17
\]
Демек, теңдеудің шешімдері:
\[
x = 3 \quad \text{және} \quad x = -17
\]
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Simplify this solution Mind Expander
To solve the equation \( |x+7|=10 \), we need to consider the two scenarios resulting from the absolute value: \( x+7 = 10 \) and \( x+7 = -10 \). From the first equation, subtracting 7 gives us \( x = 3 \). For the second equation, subtracting 7 yields \( x = -17 \). Therefore, the solutions to the equation are \( x = 3 \) and \( x = -17 \). Remember that working with absolute values opens up different possibilities, so it's essential to explore all avenues! Double-checking your solutions by plugging them back into the original equation can prevent any pesky mistakes. This helps ensure that your solutions stand firm and true, keeping your math game strong!
