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If the simplified form of ((k-2)x+5x) is (9x), what is the value of (k)?यदि ((k-2)x+5x) का सरल रूप (9x) है, तो (k) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 66
Both terms contain the same variable \(x\), so add their coefficients: \((k-2)x+5x=(k-2+5)x=(k+3)x\). Since the simplified expression is \(9x\), we get \(k+3=9\). Therefore, \(k=6\). If 9 were chosen, the coefficient would become 12, not 9. Exam tip: while combining like terms, add only their coefficients.दिए गए व्यंजक में दोनों पदों में \(x\) समान है, इसलिए उनके गुणांकों को जोड़ते हैं: \((k-2)x+5x=(k-2+5)x=(k+3)x\)। चूँकि सरल रूप \(9x\) है, इसलिए \(k+3=9\)। अतः \(k=6\)। विकल्प 9 लेने पर गुणांक \(12\) हो जाएगा, जो \(9\) नहीं है। परीक्षा टिप: समान पदों को जोड़ते समय केवल उनके गुणांक जोड़ें।
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