Home
Class 10
MATHS
Find the nature of the roots of the fol...

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:(i) `2x^2-3x+5=0`(ii) `3x^2-4sqrt(3)x+4=0`(iii) `2x^2-6x+3=0`

Text Solution

Verified by Experts

The correct Answer is:
`x = (3 - sqrt(3))/(2)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)|34 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 2)|14 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 4.3)|18 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|15 Videos

Similar Questions

Explore conceptually related problems

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them : 2x^(2) - 3x + 5 = 0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them : 3x^(2) - 4 sqrt(3)x + 4 = 0

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0

Find the nature of the roots of the quadratic equation 3x^(2)-sqrt7x+1=0

Find the nature of roots of the quadratic equation 2x^(2)-4x+3=0

Find the nature of roots of the given quadratic equation : 2x^(2)-6x+3=0

Find the nature of the roots of the quadratic equation 2x^(2) -4 x + 3 = 0

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .

Find the nature of the roots of the quadratic equation 4x^(2)+4 sqrt(3)x +3=0

What is the nature of the roots of the quadratic equation 2x^(2)-3x-4=0