Q.4 द्विघात समीकरण 2x2-3x+5= 0 का विविव्रतकर है
Discriminant of quadratic equation 2x2 - 3x + 5 = 0 is -
a) 31
b)-31
c) 36
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Given : द्विघात समीकरण 2x²-3x+5= 0
quadratic equation 2x²-3x+5= 0
To Find : विविव्रतकर
Discriminant of quadratic equation
a) 31
b)-31
c) 36
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
विविव्रतकर = - 31
Discriminant = - 31
D < 0
=> मूलों की प्रकृति
काल्पनिक मूल
मूल = (- b ± √D)/2a
= ( -(-3) ± √- 31)/ 2(2)
= ( 3 + i√31)/4
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