Home
Class 10
MATHS
solve for x : (1) x^(2) + (1)/(x^(2))=...

solve for x :
(1) `x^(2) + (1)/(x^(2))=(17)/(4)`
(2) `(x+1)/(x)+(x)/(x+1)=(25)/(12)`
(3) `x^(2)+(1)/(x^(2))+x+(1)/(x)-4=0`

Text Solution

Verified by Experts

The correct Answer is:
(1) 2, -2 `(1)/(2) and -(1)/(2)`
(2) 3 and -4
(3) 1
(4) 24.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Excersice-4.1|2 Videos

  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Excersice-4.2|6 Videos

  • QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise Test Your Skills|19 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS (State whether each of the following statements is true or false:) |5 Videos

  • QUESTION PAPER -1

    KUMAR PRAKASHAN|Exercise SECTION D ( Answer the following as required with calculations) |1 Videos

Similar Questions

Explore conceptually related problems

Solve for x :(log)_("x"+1)(x^2+x-6)^2=4

Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

Value of ((x^(4)+x^(2)+1))/((x^(2)-x+1))-(x+1)^(2) is

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

Find the sum of (x + (1)/(x))^(2), (x^(2) + (1)/(x^(2)))^(2), (x^(3) + (1)/(x^(3)))^(2) , ……..to n terms

Solve x^(2) + x + 1=0

Check whether the following are quadratic equations : (1) (x-2)^(2)+1=2x-3 (2) x(x+1)=8=(x+2)(x-2) (3) x(2x+3)=x^(2)+1 (4) (x+2)^(3) = x^(3)-4

If x = 4 +sqrt(15) . Find the value of x^(2) +(1)/(x^(2)) and x^(3) + ( 1)/(x^(3))

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(3)