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

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

Properties of definite integral, Properties 1.  ∫ b a f ( x ) dx = -∫ ...

Properties 1.  ∫ b a f ( x ) dx = -∫ b a f ( x ) dx .  We can interchange the limits on any definite integral, all that we have to do is tack a minus sign onto the integral

Write the equation of a circle, Example    Write down the equation of a cir...

Example    Write down the equation of a circle  alongwith radius 8 & center ( -4, 7 ) . Solution Okay, in this case we have r =8 , h = -4 and k = 7 thus all we have to do i

What is minimum spanning tree, What is minimum spanning tree?  Determine a ...

What is minimum spanning tree?  Determine a railway network of minimal cost for the cities in the following graph using Kruskal's algorithm. Ans: Minimum spanning tree in a con

Intergration, Functional and variations.Block III, Consider the functiona...

Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'

Basic mathematics, I need help with my homework, I am to the edge right now...

I need help with my homework, I am to the edge right now with this w=5pq/2

Prove that cos - sin = v2 sin , If cos?+sin? = √2 cos?, prove that cos? - ...

If cos?+sin? = √2 cos?, prove that cos? - sin? =  √2 sin ?. Ans:    Cos? + Sin? =  √2 Cos? ⇒ ( Cos? + Sin?) 2  = 2Cos 2 ? ⇒ Cos 2 ? + Sin 2 ?+2Cos? Sin? = 2Cos 2 ? ⇒

Which expression has an answer of 18, Which expression has an answer of 18?...

Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T

Calculus, Determine the linear approximation for f(x)= sin delta at delta =...

Determine the linear approximation for f(x)= sin delta at delta =0

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