English

Solve : 5m² - 22m-15 = 0 - Algebra

Advertisements
Advertisements

Question

Solve : 5m² - 22m-15 = 0

Solution

5m² - 22m - 15 = 0
∴ 5m² - 25m + 3m - 15 = 0
∴ 5m (m - 5) + 3(m - 5) =0
∴ (m - 5) (5m + 3) = 0
∴ m - 5 = 0 or 5m + 3 = 0
∴ m = 5 or m = `−3/5`

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 2

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

In an AP, the first term is 2, the last term is 29 and the sum of all the terms is 155. Find the common difference.


In an AP, the first term is 22, nth terms is -11 and sum of first n terms is 66. Find the n and hence find the4 common difference.


The sum of the first 7 terms of an AP is 182. If its 4th and 17th  terms are in the ratio 1:5, find the AP.


The sum of the first 9 terms of an AP is 81 and that of its first 20 terms is 400. Find the first term and common difference of the AP.


The 16th term of an AP is 5 times its 3rd term. If its 10th term is 41,  find the sum of its first 15 terms.


An AP 8, 10, 12, … has 60 terms. Find its last term. Hence, find the sum of its last 10 terms.


The sum of the 4th and 8th terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find the sum of its first 10 terms.   


The sum of fist m terms of an AP is ( 4m2  - m). If its nth term is 107, find the value of n. Also, Find the 21st term of this AP. 


A man arranges to pay off debt of ₹36000 by 40 monthly instalments which form an arithmetic series. When 30 of the installments are paid, he dies leaving on-third of the debt
unpaid. Find the value of the first instalment.


The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P ?


Find the number of terms of the AP − 12, −9, −6, ….., 12. If 1 is added to each term of this AP, then find the sum of all terms of the AP thus obtained ?


Which of the following sequences are A.P.? If they are A.P. find the common difference.

–10, –6, –2, 2,...


Is the following sequences are A.P.? If is A.P. find the common difference.

`-1/5, -1/5, -1/5,...`

Write the correct number in the given boxes from the following A. P.

1, 8, 15, 22,... 
Here a =Here a = t= , t2 = , t3 = ,

t2 – t1 = =
t3 – t2 = =  ∴ d =


Write the correct number in the given boxes from the following A. P.

–3, –8, –13, –18,... 

Here  t= , t2 = , t4 =, t1 = ,
t2 – t1 = , t3 – t2 =    ∴ a = , d =


Write a trinomial of degree 7.


Find the 19th term of the A.P. 7, 13, 19, 25, ............ .


Find the first four terms in A.P. When a = 10 and d = 3.


Find the value of the determinate:

`|(4,-2),(3,1)|`


Complete the following activity to find the number of natural numbers between 1 and 171, which are divisible by 5:  

Activity : 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×