Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
If the ratios of the polynomial ax3+3bx2+3cx+d are in AP, Prove that 2b3-3abc+a2d=0
Ans: Let p(x) = ax3 + 3bx2 + 3cx + d and α , β , r are their three Zeros but zero are in AP
let α = m - n , β = m, r = m + n
sum = α+β+ r = - b/a
substitute this sum , to get = m= -b/a
Now taking two zeros as sum αβ +β r +αr = c a
(m-n)m + m(m+n) + (m + n)(m - n) = 3c/a
Solve this problem , then we get
3b2 - 3ac/a2 = n2
Product αβ r = d/ a
(m-n)m (m+n) = -d/a
(m2 -n2)m = - d/a
[(-b/a)2-(3b2 -3ac/a2)](-b/a) = -d/a
Simplifying we get
2b3 - 3abc + a2 d = 0
a child prepares a poster to save energy on a square sheet whose each side measures 50 cm . At each corner she draws a quadrant of radius 5 cm and the centre of a circle of diamete
Why -2=-x , is x=2
the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying
Estimation of population proportions This form of estimation applies at the times while information cannot be described as a mean or as a measure but only as a percentage or fr
Do you agree with the necessity of the sequencing E - L - P - S for learning? If not, then what do you suggest as an alternative path for understanding and internalising mathematic
Give the introduction about Graphing? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's call
Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,
Positive Skewness - It is the tendency of a described frequency curve leaning towards the left. In a positively skewed distribution, the long tail extended to the right. In
Grimm plc (Grimm) has the following transactions: a) On 1 st January 2010, Grimm issued 400,000 convertible £1 6% debentures for £600,000. The professional fees associated wit
Rate - when we know how many objects are in a set, and need to find out the total number in several copies of that set. (e.g., if a child uses 4 copybooks in a year, how many co
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd