Coefficients of the equation, Mathematics

Assignment Help:

If coefficients of the equation ax2 + bx + c = 0, a ¹ 0 are real and roots of the equation are non-real complex and a + c < b, then

(A) 4a + c > 2b (B) 4a + c < 2b (C) 4a + c = 2b (D) none of these

Please give the solution of this question.

Solution": Let assume x=-1

a-b+c but

a+c

hence f(x)<0 for all real values of x

therefore

putting x=-2

we get f(X)=4a+c-2b<0

or 4a+c<2b


 


Related Discussions:- Coefficients of the equation

Determine probability , You are going on a road trip and you buy snack pack...

You are going on a road trip and you buy snack packs and three different kind of beverages.  You buy 7 Cokes, 5 Pepsis and 4 Dr. Peppers.  You pull out two beverages at random.  An

How to find the range of a function, How to Find the range of a function ? ...

How to Find the range of a function ? Sigh. Students ask me this all the time. They don't want an explanation, they want a procedure. "Tell me the steps!" Unfortunately, th

Estimate the area between f ( x ) =x3 - 5x2 + 6 x + 5, Estimate the area be...

Estimate the area between f ( x ) =x 3 - 5x 2 + 6 x + 5 and the x-axis by using n = 5 subintervals & all three cases above for the heights of each of the rectangle. Solution

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

Permission for xii class, Is there any class in expertsmind for second year...

Is there any class in expertsmind for second year english.?

Chp 8 Study, Center and Radius 1)(x+2)^2-(y-3)^2=4

Center and Radius 1)(x+2)^2-(y-3)^2=4

Dilemmas of america''s minority groups, Explain this statement " As we begi...

Explain this statement " As we begin the 21st century, the dilemmas of America's minority groups remain perhaps the primary unresolved domestic issue facing the nation." How might

Simple interest, Three payments of $2000 (originally due six months ago, to...

Three payments of $2000 (originally due six months ago, today, and six months from now) have been renegotiated to two payments: $3000 one month from now and a second payment due in

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