Please solve my problem sums.?

Question

1. The soln of 9Xsquare+30x+25=0 is a ______set.
Means Singleton, Infinite or Null?
2. If H.C.F of p(x) and q(x) is 1, what's their L.C.M?
3.For what value of discriminant D, quadratic equation doesnot have real root?
4.By which number the sum of a two digit number and number obtained by interchanging it's digits is always divisible?
5.The sum of digits of a two-digit number is same as product of it's digits. Then, the number is_______. i.e. a.11 b.23 c.10 d. 22

I understood everything else in exception of 2 sum. Pls explain me once again.

Answer 1

1. factor into (3x + 5)^2 = 0 so x = -5/3
I guess this is a singleton since there is only one solution.

2. p(x)*q(x)

3. D < 0

4. 11
10+01 = 11
11+11 = 22
12 + 21 = 33
13 + 31 = 44
92+29=121
94+49 = 143


5. 11..... 1+ 1 <> 1
23 ........ 2 + 3 <> 6
10 ........ 1 + 0 <> 0
22 ........ 2 + 2 = 2*2
The answer is 22

Answer 2

These are not sums. These are concept questions. If you cannot at this time come up with the answers, please re-read your chapter. Check out what a least common multiplier is. .I think you also should check out a definition of a real root. The answer is evident if you know what that is. #4 is a question about numbers. Think about it in terms of some real numbers like the ones listed in #5. Plus I do hope the question means evenly divisible. No matter what the two digit number is, what number can you always divide into another number? #5. Check out the numbers provided.

Answer 3

1. its a perfect square trinomial... (3x+5)^2 so the solution set is {-5/3} ... this is a singleton.

2. for any nonzero entities, LCM*GCF = p(x)*q(x)
thus GCF = p(x)*q(x)
Note also: GCF = HCF.
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3. D should be a negative number.
Additional note: if the discriminant is zero.. there roots are real and equal. if the discriminant is positive... the roots are real and unequal.

4. (10x + y) + (10y + x) is always divisible by 11

5. just try the numbers... answer: d. 22...
sum is 4, product is 4.

Answer 4

1. D = 900 - 900 = 0
So, the answer will be singleton.
2. Formula = L.C.M = Product of the numbers / H.C.F
So, L.C.M. = {(x) * (x)} / 1
L.C.M = x^2 / 1
3. 0
4. 1
5. 22

Answer 5

1.ur question is not clear.sorry!
2.since the hcf is 1 thats mean that the numbers are co-prime and hence their products is their lcm
3.for value less than 0
4.always by 11
5.22

Answer 6

1)* saperate
(3x)^2 + (3*5*2)x + 5^2=0
*acoording to the formula a^2+2ab+b^2=(a+b)(a+b)
(3x+5)(3x+5)=0
*therefore
3x must not be equal to 5
*divide by 3
x must not be equal to 0.6

the others: only next year i will learn about funxions and i didnt understood the others... sry m8...

Answer 7

lcm= product of no/hcf
therefore,
lcm=p(x)*q(x)/1

Answer 8

Sorry, If I would have known all these. ..... Leave it !!!