मराठी

`4x^2+4sqrt3x+3=0` - Mathematics

Advertisements
Advertisements

प्रश्न

`4x^2+4sqrt3x+3=0` 

Advertisements

उत्तर

`4x^2+4sqrt3x+3=0`  

⇒` 4x^2+4sqrt3x=-3` 

⇒`(2x)^2+2xx2x xxsqrt3+(sqrt3)^2=-3(sqrt3)^2`       [Adding`( sqrt3)^2` on both sides]

⇒`(2x+sqrt3)^2=-3+3=0` 

⇒`2x+sqrt3=0` 

⇒`x=-sqrt3/2` 

Hence,`-sqrt3/2` is the repeated root of the given equation.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Quadratic Equations - Exercises 2

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 10 Quadratic Equations
Exercises 2 | Q 4

संबंधित प्रश्‍न

In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects


Solve the following quadratic equations by factorization:

3x2 − 14x − 5 = 0


Solve the following quadratic equations by factorization:

`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`


Find the consecutive numbers whose squares have the sum 85.


Determine two consecutive multiples of 3, whose product is 270.


A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. 1 less, the cost would remain unchanged. How long is the piece?


Solve x2 – 4x – 12 =0; when x ∈ I


The sum of a natural number and its square is 156. Find the number. 

 


Find the tow consecutive positive odd integer whose product s 483. 


If the equation x2 + 4x + k = 0 has real and distinct roots, then


The positive value of k for which the equation x2 + kx + 64 = 0 and x2 − 8x + k = 0 will both have real roots, is


If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0,  then ab =


If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is


If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are real, then k =


If sin α and cos α are the roots of the equations ax2 + bx + c = 0, then b2 =


The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.


Solve the following equation by factorization

`(x + 1)/(x - 1) + (x - 2)/(x + 2)` = 3


Solve the following equation by factorization

`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2(1)/(2)`


Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.


Find the roots of the following quadratic equation by the factorisation method:

`21x^2 - 2x + 1/21 = 0`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×