Medium Mathematics Quadratic Equations Class 10 Level 31

यदि \(x=\frac{3}{2}\) समीकरण \(2x^2-5x+c=0\) का मूल है तो (c) का मान क्या है?

If \(x=\frac{3}{2}\) is a root of \(2x^2-5x+c=0\), what is the value of (c)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

Putting \(x=\frac{3}{2}\) gives \(\frac{9}{2}-\frac{15}{2}+c=0\), so (c=3). For fractional roots calculate each term separately.

Step 2

Why this answer is correct

The correct answer is A. (3). Putting \(x=\frac{3}{2}\) gives \(\frac{9}{2}-\frac{15}{2}+c=0\), so (c=3). For fractional roots calculate each term separately.

Step 3

Exam Tip

\(x=\frac{3}{2}\) रखने पर \(\frac{9}{2}-\frac{15}{2}+c=0\) इसलिए (c=3) है। भिन्न मूल में हर पद अलग निकालें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x=\frac{3}{2}\) समीकरण \(2x^2-5x+c=0\) का मूल है तो (c) का मान क्या है? / If \(x=\frac{3}{2}\) is a root of \(2x^2-5x+c=0\), what is the value of (c)?

Correct Answer: A. (3). Explanation: \(x=\frac{3}{2}\) रखने पर \(\frac{9}{2}-\frac{15}{2}+c=0\) इसलिए (c=3) है। भिन्न मूल में हर पद अलग निकालें। / Putting \(x=\frac{3}{2}\) gives \(\frac{9}{2}-\frac{15}{2}+c=0\), so (c=3). For fractional roots calculate each term separately.

Which concept should I revise for this Mathematics MCQ?

Putting \(x=\frac{3}{2}\) gives \(\frac{9}{2}-\frac{15}{2}+c=0\), so (c=3). For fractional roots calculate each term separately.

What exam hint can help solve this Mathematics question?

\(x=\frac{3}{2}\) रखने पर \(\frac{9}{2}-\frac{15}{2}+c=0\) इसलिए (c=3) है। भिन्न मूल में हर पद अलग निकालें।

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