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

Combined mean and standard deviation, Combined Mean And Standard Deviation ...

Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

Differential equation, Find the normalized differential equation which has ...

Find the normalized differential equation which has {x, xe^x} as its fundamental set

profit & loss, A sell a watch to B at gain of 20% and B sell to C at loss ...

A sell a watch to B at gain of 20% and B sell to C at loss of 10%. if C pays @ 432, how much did A pays for it.

Prove that xa+ar=xb+br of circle, In figure, XP and XQ are tangents from X ...

In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans:    Since the length of tangents from externa

Mathematic Modeling, Ask question I have 2 problems I need them after 7 hou...

Ask question I have 2 problems I need them after 7 hours

Calculate the volume and surface area of a cube, Calculate the volume and s...

Calculate the volume and surface area of a cube: Calculate the volume and surface area of a cube with a = 3".  Be sure to involved units in your answer. Solution: V =

Integration techniques, Integration Techniques In this section we are ...

Integration Techniques In this section we are going to be looking at several integration techniques and methods. There are a fair number of integration techniques and some wil

Angles, samuel left mauritius at 22:30 on saturday and travelled to london ...

samuel left mauritius at 22:30 on saturday and travelled to london (GMT) for 14h30min he had a stopover for 4 h in london and he continued to travel to toronto for another 6h20min

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