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Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots?
Most Upvoted Answer
Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equa...
P(x)=3x^2-k√3x+4=0,
given that the quadratic equation has equal roots,
so, discriminant=0,
or, b^2-4ac=0,
here, a=3,b=-k√3 and c=4,
by putting the values we get ,
(-k√3)^2-4(3)(4)=0,
3k^2-48=0,
k^2=48/3=16,
k=+√16 or, -√16=4 or -4
given that the quadratic equation has equal roots,
so, discriminant=0,
or, b^2-4ac=0,
here, a=3,b=-k√3 and c=4,
by putting the values we get ,
(-k√3)^2-4(3)(4)=0,
3k^2-48=0,
k^2=48/3=16,
k=+√16 or, -√16=4 or -4
Community Answer
Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equa...
Here....3x² - k√3x + 4 = 0...where...a = 3 , b = -k√3 , c = 4...put it on quadratic....b² - 4ac = 0then...(-k√3)² - 4×3×4 = 03k² - 48 = 03k² - 48k² = ± 16k = ± 4k = 4 , - 4.. Hence...answer will be 4 and -4 ....ok
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Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots?.
Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of k if the quadratic equation 3x² - k√3 x+4=0 has equal roots?.
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