If the squared difference of the zeros find the value of p, Mathematics

Assignment Help:

If the squared difference of the zeros of the quadratic polynomial x2 + px + 45 is equal to 144 , find the value of p.                                                                                                                (Ans: ± 18).

Ans:  Let two zeros are α and β where α > β

According given condition

(α - β)2 = 144

Let p(x) = x2 + px + 45

α + β = -b/a = -p /1 = - p

αβ =  c/a = 45/1 = 45

now (α - β)2 = 144

(α + β)2 - 4 αβ = 144

(-p)2 - 4 (45) = 144

Solving this we get    p = ± 18


Related Discussions:- If the squared difference of the zeros find the value of p

Numertic methods, solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=...

solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=100, -3x-5y+10z=100

How do children learn maths?, HOW DO CHILDREN LEARN? : Have you ever tried...

HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b

Rate -categories of multiplication, Rate - when we know how many objects...

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

DIFFERENTIAL EQUATIONS, WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLED...

WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?

.., the circumference of a circle C of radius r is given by C=2pR.taking p ...

the circumference of a circle C of radius r is given by C=2pR.taking p to be 22/7 a)find the circumference when the radius is 28 cm b)find the radius when the circumference is 484

Probability, Question: There are 6 letters and 6 self addressed envelopes.W...

Question: There are 6 letters and 6 self addressed envelopes.What is the probability that atleast 1 is placed correctly?? Ans: If we let A be the event that letter A is in the cor

Determine the second derivative of q (t ) = sec (5t ), Determine the secon...

Determine the second derivative for following functions.                             Q (t ) = sec (5t ) Solution : Following is the first derivative.              Q′ (t

Quantitative method, Year 1 2 3 4 ...

Year 1 2 3 4 5 6 7 8 9 10 Corn revenue 40 44 46

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd