English

Solve equation using factorisation method: 2(x2 – 6) = 3(x – 4) - Mathematics

Advertisements
Advertisements

Question

Solve equation using factorisation method:

2(x2 – 6) = 3(x – 4)

Sum

Solution

2(x2 – 6) = 3(x – 4)

⇒ 2x2 – 12 = 3x – 12

⇒ 2x2 – 3x = 0

⇒ x(2x – 3) = 0

Since x = 0 or 2x – 3 = 0

Then x = 0 or x = `3/2`

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Quadratic Equations - Exercise 5 (C) [Page 59]

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (C) | Q 10 | Page 59

RELATED QUESTIONS

Solve for x :

`2/(x+1)+3/(2(x-2))=23/(5x), x!=0,-1,2`


Solve the following quadratic equations by factorization:

x2 + 2ab = (2a + b)x


The sum of the squares of the two consecutive odd positive integers as 394. Find them.


A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?


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

(m – 3)x2 – 4x + 1 = 0


Solve the following quadratic equations by factorization:\[\frac{1}{x - 3} + \frac{2}{x - 2} = \frac{8}{x}; x \neq 0, 2, 3\]


Find the values of p for which the quadratic equation 

\[\left( 2p + 1 \right) x^2 - \left( 7p + 2 \right)x + \left( 7p - 3 \right) = 0\] has equal roots. Also, find these roots.

The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.


An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
the return Journey. If the return journey took 30 minutes less than the onward journey write down an equation in x and find its value.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×