Question
Hard Mathematics
Polynomials Irrational numbers and real numbers Class 10 Level 28
यदि किसी द्विघात बहुपद के शून्यक \(3+\sqrt{5}\) और \(3-\sqrt{5}\) हैं, तो शून्यकों का योग क्या है?
If the zeroes of a quadratic polynomial are \(3+\sqrt{5}\) and \(3-\sqrt{5}\), what is their sum?
Explanation opens after your attempt
Step 1
Concept
The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.
Step 2
Why this answer is correct
The correct answer is B. (6). The sum is (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6). In conjugate irrationals the radical parts cancel.
Step 3
Exam Tip
योग (\(3+\sqrt{5}\)+\(3-\sqrt{5}\)=6) है। संयुग्मी अपरिमेयों में वर्गमूल भाग कट जाता है।
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Question
Medium Mathematics
Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23
किसी बहुपद का आलेख (x)-अक्ष को ((a,0)) और ((-a,0)) पर काटता है। यदि \(a\neq0\) है तो शून्यकों का योग क्या है?
A polynomial graph cuts the (x)-axis at ((a,0)) and ((-a,0)). If \(a\neq0\), what is the sum of zeroes?
Explanation opens after your attempt
Step 1
Concept
The zeroes are (a) and (-a), whose sum is (0). Tip: opposite numbers add to (0).
Step 2
Why this answer is correct
The correct answer is C. (0). The zeroes are (a) and (-a), whose sum is (0). Tip: opposite numbers add to (0).
Step 3
Exam Tip
शून्यक (a) और (-a) हैं जिनका योग (0) है। टिप: विपरीत संख्याएँ जोड़ने पर (0) देती हैं।
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