Question:
जर 2 आणि 5 ही वर्गसमिकरणाची मूळ आहेत, तर वर्गसमिकरण तयार करण्यासाठी खालिल Solution पूर्ण करा :
जर 2 आणि 5 ही वर्गसमिकरणाची मूळ आहेत, तर वर्गसमिकरण तयार करण्यासाठी खालिल Solution पूर्ण करा :
Updated On: Nov 6, 2025
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Solution and Explanation
समजा \( \alpha = 2 \) आणि \( \beta = 5 \) ही वर्गसमिकरणाची मूळ आहेत. फॉरम्युला वर्गसमिकरण: \[ x^2 - (\alpha + \beta)x + \alpha\beta = 0 \] मूल्ये ठेवून: \[ x^2 - (2 + 5)x + 2 \times 5 = 0 \] \[ x^2 - (7)x + 10 = 0 \] \[ x^2 - x + 0 = 0 \] अखेर, समिकरण \( x^2 - x = 0 \) असे आहे.
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