मराठी

Solve the Following Quadratic Equations by Factorization: 6x2 + 11x + 3 = 0 - Mathematics

Advertisements
Advertisements

प्रश्न

Solve the following quadratic equations by factorization:

6x2 + 11x + 3 = 0

Advertisements

उत्तर

We have been given

6x2 + 11x + 3 = 0

6x2 + 9x + 2x + 3 = 0

3x(2x + 3) + 1(2x + 3) = 0

(2x + 3) (3x + 1) = 0

2x + 3 = 0

2x = -3

x = -3/2

or,

3x + 1 = 0

3x = -1

x = -1/3

Hence, x = -1/2 or x = -1/3

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Quadratic Equations - Exercise 4.3 [पृष्ठ १९]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 4 Quadratic Equations
Exercise 4.3 | Q 6 | पृष्ठ १९

संबंधित प्रश्‍न

A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.


Solve the following quadratic equations by factorization:

25x(x + 1) = -4


Solve the following quadratic equations by factorization:

`m/nx^2+n/m=1-2x`


Solve the following quadratic equations by factorization:

(a + b)2x2 - 4abx - (a - b)2 = 0


Solve the following quadratic equations by factorization:

a2b2x2 + b2x - a2x - 1 = 0


Let us find two natural numbers which differ by 3 and whose squares have the sum 117.


The sum of two number a and b is 15, and the sum of their reciprocals `1/a` and `1/b` is 3/10. Find the numbers a and b.


Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.


Solve x2 – 4x – 12 =0; when x ∈ I


Solve the following quadratic equations by factorization: 

(x + 1) (2x + 8) = (x+7) (x+3) 


If 2 is a root of the quadratic equation \[3 x^2 + px - 8 = 0\] and the quadratic equation \[4 x^2 - 2px + k = 0\]  has equal roots, find the value of k.


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


Solve the following equation:  2x2 - 3x - 9=0


A two digit number is four times the sum and 3 times the product of its digits, find the number.


Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`


Solve the following quadratic equation by factorisation:
x2 + 3x - 18 = 0


Solve the following by reducing them to quadratic form:
`sqrt(x^2 - 16) - (x - 4) = sqrt(x^2 - 5x + 4)`.


Solve the following equation by factorization

`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`


Solve the following equation by factorisation :

`(6)/x - (2)/(x - 1) = (1)/(x - 2)`


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

`2/5x^2 - x - 3/5 = 0`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×