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

Cenamatic, a tire placed on a balancing machine in a service station starts...

a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a

Iti, Gm signal is better than am signal becuase

Gm signal is better than am signal becuase

What could the dimensions of the floor be in terms of x, Harold is tiling a...

Harold is tiling a rectangular kitchen floor with an area that is expressed as x 2 + 6x + 5. What could the dimensions of the floor be in terms of x? Because area of a rectang

Statistics, The winning team''s score in 21 high school basketball games wa...

The winning team''s score in 21 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 90% confiden

Area and surface Are, I cant figure out how to study for my math test

I cant figure out how to study for my math test

Continuous random variable, Continuous Random Variable In the probabili...

Continuous Random Variable In the probability distribution the sum of all the probabilities was 1. Consider the variable X denoting "Volume poured into a 100cc cup from coff

Multiplication and division, you want to share 34 pencils among 6 friends ....

you want to share 34 pencils among 6 friends .How many would each friend get?

Determine the direction cosines and direction angles, Determine or find out...

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)

Least common denominator using primes, Least Common Denominator Using Prime...

Least Common Denominator Using Primes: A prime number is a whole number (integer) whose only factors are itself and one. So the first prime numbers are given as follows: 1,

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