Home
Class 11
MATHS
Solve the equation: x^2+3=0...

Solve the equation: `x^2+3=0`

Text Solution

Verified by Experts

(i) `x^2= -3`
`x= +- sqrt3`
`= +-isqrt3`
(ii)` 2x^2+x+1=0`
`D= b^2-4ac = 1-4*2*1 = -7`
`x= (-b+-sqrt D)/(2a)`
`=(-1+- sqrt7)/4`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|20 Videos
  • BINOMIAL THEOREM

    NCERT|Exercise SOLVED EXAMPLES|17 Videos
  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.1|15 Videos

Similar Questions

Explore conceptually related problems

Solve the equation: x^(2)+3x+5=0

Solve the equation: x^(2)+3x+9=0

Solve the equation x^(2)+2=0 .

Solve the equation 2x^(2)+x-3=0

Solve the equation: x^(2)-2x+(3)/(2)=0

Solve the equation 2x^(2)+3ix+2=0 using the general expression for a quadratic equation.

Solve the equation x^2−(√3​+1)x+ √3=0 by the method of completing the square.

Solve the equation: 3x^(2)-4x+(20)/(3)=0

Solve the equation: x^(2)-x+2=0

Solve the equation (x^(2)-3x)^(2)+3x^(2)-9x-28=0 for real roots.