Question: Algebraic methods 3. The quadratic equation x2 + (3k + 1)x + (4-9k), where k is constant, has repeated roots. a) Show that 9k2 +

Algebraic methods 3. The quadratic equation x2 + (3k + 1)x + (4-9k), where k is constant, has repeated roots. a) Show that 9k2 + 42k - 15 = 0. b) Hence find the possible values of k

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

the quadratic equation x 2 + (3k+1)x + (4-9k), where k is constant , has repeated roots. Show that 9k 2 + 42k - 15 =0

Step by step and correct format and answers asap (-2)(2x - 3y) = (-2)(-7) em to sausood oldneon ay # 2 T novolog 61 3 3 Buloa numbsup "enormups issalmon to moreve eds not gnivlog m abordom and sit...

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

8.1. Dulles Electric Company buys 1 million tons of coal annually to burn at its power plant. The company wants to invest in a unit train that will haul coal from the mine to the power house, where...

6.1. Carbondale Company has the following credit policy 2/10, net 30. Carbondale also charges 1% per month interest on all accounts after 30 days. The following table shows the collection schedule of...

7-67 (Every fourth, and also 29, 33, 61, 65; pp.329-330 ) SECTION 3.5 . Complex Zeros and the Fundamental Theorem of Algebra 329 EXAMPLE 7 . Factoring a Polynomial into Linear and Quadratic Factors...

chapter 5 INTRODUCTION TO MATRIX ALGEBRA GOALS The purpose of this chapter is to introduce you to matrix algebra, which has many applications. You are already familiar with several algebras:...

What is a fund supermarket?

Farhan was recently hired by a major retail store. His job is to determine the probability that individual customers will fail to pay their bill on due time. Farhan's job best relates to which one of...

? _ _ _ _ _ _ _ _ b l a n k o c c u r s w h e n a p r a c t i c a l l y u n l i m i t e d a m o u n t o f i n t e r n a t i o n a l c a p i t a l f l o w s i n r e s p o n s e t o a s l i g h t c h a...

The Omega Corporation manufactures two types of vacuum cleaners, the ZENITH for commercial building use and the House-Helper for residences. Budgeted and actual operating data for the year 20x3 are...