Algebra 2
posted by Mary .
"The Discriminant; Equations in Quadratic Form"
Solve over the complex numbers.
1/e + 1/(square root of e)  6 = 0

I would let √e = x , then
1/x^2 + 1/x  6 = 0
multiply by x^2
1 + x  6x^2 = 0
6x^2  x  1 = 0
(3x+1)(2x1) = 0
x = 1/3 or x = 1/2
√e = 1/3 or √e = 1/2
e = 1/9 or e = 1/4
since we "squared" we have to verify all answers.
if e = 1/9
LS = 1/(1/9) + 1/√(1/9)  6
= 9 + 3  6 = 6
RS = 0, so e = 1/9 does not work
if e = 1/4
LS = 4 + 2  6 = 0 = RS
so e = 1/4
BTW, most texts and authors would avoid using e as a variable, since e is generally accepted as the Euler constant 
Thank you so much! I've been stuck on this problem for over 2 hours
Respond to this Question
Similar Questions

Algebra
1)Find the exact solutions to 3x^2=5x1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^27x+9=0 answer=2 complex … 
algebra
1)Find the exact solutions to 3x^2=5x1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^27x+9=0 answer=2 complex … 
algebra
1.)correct 2.)wrong> the first term is wrong 4(3a^2)^2 = 36a^4 3.) not sure on this one 4.) wrong>  square root of six is not a solution Hope this Helps! 1)find p(3)if p(x)=4x^35x^2+7x10 =184 2)If r(x)=4x^23x+7,find … 
algebra
1)Write the expression 9n^6+7n^36 in quadratic form,if possible A.9(n^3)^3+7n^36 B.9(n^2)^3+7(n^2)6 C.9(n^3)^2+7(n^3)6 D.not possible I'm thinking C on this one but im not sure 2)solve b^4+2b^224=0 A.2,square root of 6,square … 
algebra
What would be the discriminant for this equation: x^22x+12=0 How many solutions are there? 
Algebra
Use the quadratic formula to solve the equation. Give exact answers: 2x^2 1 = 6x. The choices are: a) 3 + square root(7)/2, 3  square root(7)/2 b) 3 + square root(11)/2, 3  square root(11)/2 c) 3 + square root(7)/2, 3  square … 
algebra
Help Fast PLEASE!! check for corrections on my problems 1.Rewrte the following in simplified radical form, Assume all variables represents positive real numbers: square root 48y^10= 4y^5 square root 3 2.Rationalize the denomintor and … 
Math PLEASE HELP ASAP
PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT PLEASE. *CHALLENGE. 1.SIMPLIFY : SQUARE ROOT OF 16^8+8^4/16^2+16^7 2.EXPRESS 1 + 1/1+SQUARE ROOT OF 2  1/1SQUARE ROOT OF 2 IN THE FORM A+B SQUARE ROOT OF 2, WHERE A AND BARE RATIONAL … 
Complex numbers  quadratic formula
Let a and b be real numbers. The complex number 4  5i is a root of the quadratic z^2 + (a + 8i) z + (39 + bi) = 0. What is the other root? 
Math
Find the discriminant for the quadratic equation f(x) = 5x^2  2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is 136, two complex roots <?