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If \(a-b=7\) and \(ab=10\), what is the value of \(a^2+b^2\)?यदि \(a-b=7\) और \(ab=10\) है, तो \(a^2+b^2\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 6969
Use the identity \(a^2+b^2=(a-b)^2+2ab\). Thus, \(a^2+b^2=7^2+2(10)=49+20=69\). Therefore, the correct answer is 69. Remember not to omit the term \(2ab\); using only \((a-b)^2+ab\) would incorrectly give 59.पहचान \(a^2+b^2=(a-b)^2+2ab\) का प्रयोग करें। इसलिए \(a^2+b^2=7^2+2(10)=49+20=69\)। अतः सही उत्तर 69 है। ध्यान रखें कि \(2ab\) को नहीं छोड़ना है; केवल \((a-b)^2+ab\) लेने पर गलत विकल्प 59 प्राप्त होगा।
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