46. द्विघात समीकरण 2x2-3x+5= 0 का विवित्कर मूलों की प्रकृति तथा द्विघाती सूत्र का
उपयोग कर मूल ज्ञात करें।
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Given : द्विघात समीकरण 2x²-3x+5= 0
To Find : मूलों की प्रकृति
मूल
Solution:
2x²-3x+5= 0
ax² + bx + c = 0
=> D = b² - 4ac
a = 2 , b = - 3 , c = 5
D = (-3)² - 4(2)(5)
=> D = 9 - 40
=> D = - 31
D < 0
=> मूलों की प्रकृति
काल्पनिक मूल
मूल = (- b ± √D)/2a
= ( -(-3) ± √- 31)/ 2(2)
= ( 3 + i√31)/4
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