Real distinct solutions, Algebra

Assignment Help:

By Using the discriminant find out which solution set we obatin for each of the following quadratic equations.

                                          13x2 +1= 5x

Solution

Firstly get the equation in standard form.

13x2 - 5x + 1 = 0

 

Then we have,

a = 13             b = -5 c=1

Plugging in the discriminant gives,

                  b2 - 4ac = ( -5)2  - 4 (13) (1) =-27

The discriminant is negative & thus we will have two complex solutions.  For reference reason the actual solutions are,

1542_Real distinct solutions.png


Related Discussions:- Real distinct solutions

Solutions and linear combination, how do you find the solution using linear...

how do you find the solution using linear combinations 4x+3y=-1 and -3x+-5y=9

Solving quadratic equations, In the earlier two sections we've talked quite...

In the earlier two sections we've talked quite a bit regarding solving quadratic equations.  A logical question to ask at this point is which method has to we employ to solve a giv

Simpler method to solve exponential equations, Simpler method Let's beg...

Simpler method Let's begin by looking at the simpler method. This method will employ the following fact about exponential functions. If   b x   = b y      then          x

Product using identities, i want to find the product using suitaible identi...

i want to find the product using suitaible identities: (x+y+2z){(x*x)+(y*y)+4(z*z)-xy-2yz-2zx}

Word problems, A mountain has an elevation of 19,389 feet in 1918, the glac...

A mountain has an elevation of 19,389 feet in 1918, the glacier on this peak covered 4 acres. By 2003 this glacier had melted to 1 acre. What was the yearlyrate of change and what

Substitution method, solve x-y=8 and x+y=4 using one of the algebraic metho...

solve x-y=8 and x+y=4 using one of the algebraic methods

Find out all the zeroes - rational zeroes, Example   Find out all the zero...

Example   Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example.  Follo

Linear Equations in Linear Algebra, Question 1 [7 marks] The reduced row ec...

Question 1 [7 marks] The reduced row echelon form of ? ? ? ? ? ? ? ? ? ? ? ? 3 4 17 22 1 2 5 row a b A is equal to ? ? ? ? ? ? ? ? ? ? ? ? 0 0 0 0 0 0 1 2 1 2 0 3 R . (a) What can

Solve, 1/x+10>0 what is the solution set

1/x+10>0 what is the solution set

Measure of central tendency.., the set of data shows of score of 25 student...

the set of data shows of score of 25 students in their periodical test. 34 35 40 40 48 21 20 19 34 45 19 17 18 15 16 21 20 18 17 10 19 17 29 45 50 1. what score is typical t

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