Home
Class 10
MATHS
Find roots of a^(2)x^(2) - (a^(2)b^(2) +...

Find roots of `a^(2)x^(2) - (a^(2)b^(2) + 1)x + b^(2) = 0`.

A

x = a, b

B

`x = (1)/(a^(2)), a^(2)`

C

`x = a^(2)b^(2) , b^(2)`

D

`x = (1)/(2) , a^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS) (VERY SHORT ANSWER TYPE)|10 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (SUBJECTIVE PROBLEMS) (SHORT ANSWER TYPE)|10 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (ASSERTION & REASON TYPE )|4 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 roots of the equation a^(2)x^(2)-3abx+2b^(2)=0 by the method of completing the square.

If root of the equation x^(2) + ax + b = 0 are alpha , beta , then the roots of x^(2) + (2 alpha + a) x + alpha^(2) + a alpha + b = 0 are

If roots of equation x^(2)-2cx+ab=0 are real and unequal,then prove that the roots of x^(2)-2(a+b)x+a^(2)+b^(2)+2c^(2)=0 will be imaginary.

If the roots of the equation x^(2) - (a-1) x+ ( a+b) = 0 and ax^(2) - 2x + b= 0 are identical, then what are the values of a and b?

(b) Find the square root of 4x^(4) - 4x^(3) + 5x^(2) -2x +1

Find the roots of the quadratic equation a^(2)b^(2)x^(2)+b^(2)x-a^(2)x-1=0