मराठी

Solve the Following Quadratic Equations by Factorization: 5x2 − 3x − 2 = 0 - Mathematics

Advertisements
Advertisements

प्रश्न

Solve the following quadratic equations by factorization:

5x2 - 3x - 2 = 0

Advertisements

उत्तर

We have been given

5x2 - 3x - 2 = 0

5x2 - 5x + 2x - 2 = 0

5x(x - 1) + 2(x - 1) = 0

(5x + 2)(x - 1) = 0

Therefore,

5x + 2 = 0

5x = -2

x = -2/5

or,

x - 1 = 0

x = 1

Hence, x = -2/5 or x = 1.

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 7 | पृष्ठ १९

संबंधित प्रश्‍न

Solve the following quadratic equations by factorization:

`(x+1)/(x-1)-(x-1)/(x+1)=5/6` , x ≠ 1, x ≠ -1


Solve the following quadratic equation by factorization:

`(x-5)(x-6)=25/(24)^2`


Find the consecutive even integers whose squares have the sum 340.


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


Solve x2 – 4x – 12 =0; when x ∈ I


For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:

x2 – (m + 2)x + (m + 5) = 0


The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers. 


Find the two consecutive positive even integers whose product is 288. 


The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples. 


Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.


Solve the following equation: `1/("x" - 1) + 2/("x" - 1) = 6/"x" , (x ≠ 0)` 


Solve the following equation:

`(x - 1)/(2x + 1) + (2x + 1)/(x - 1) = 5/2 ,  x ≠-1/2`


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


Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.


Solve the following equation by factorization

`x^2/(15) - x/(3) - 10` = 0


In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by `(1)/(14)`. Find the fraction.


The hotel bill for a number of people for an overnight stay is Rs. 4800. If there were 4 more, the bill each person had to pay would have reduced by Rs. 200. Find the number of people staying overnight. 


Solve the following equation by factorisation :

`sqrt(3x^2 - 2x - 1) = 2x - 2`


Two squares have sides A cm and (x + 4) cm. The sum of their areas is 656 sq. cm.Express this as an algebraic equation and solve it to find the sides of the squares.


If `x + 1/x = 2.5`, the value of x is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×