maths
posted by rochelle .
Show that the equation (1) divided by (x+1)  (x)divided by (x2)=0 has no real roots
Well, to begin, start with 1/(x+1x). The x's cancel out because they are opposite signs, so now you have 1/1, or just 1. Then, you are dividing 1 by (x2). In order for an expression to have roots, you have to be able to plug in the roots for x and get 0 out of the equation. In this equation, you might think that 2 is a root. However, that would make the denominator of the fraction 0, which makes the equation undefined. The only way for an equation that's a fraction to have roots is if the numerator = 0. There is no way to get that if the numerator is 1.
Respond to this Question
Similar Questions

math, algebra
can someone correct this for me or help me. 6x^2y^3+ 9x^2y^3 divided by 3x^2y^2 my solving and answer is: 15 x x y y y  = 5y 3 x x y y Looks good to me. I've never thought of showing x^2y^3 as xxyyy. That a neat wrinkle. … 
maths complex numbers
Can abs(287w)=7abs(w) be written as abs(w4)=abs(w) and if so why surely it should be abs(4w)=abs(w) can any one explain why I can just chane the signs Yes, it can be written that way. I don't see that you have changed any signs, … 
maths
simultaneous equations x + 2y = 4 3x  4y = 7 x=3 and y = 1/2 i need to explain how i got this answer and do not know how to do that? 
Algebra II
Which describes the number and type of roots of the equation x^2 625=0? 
Precalculus
"Show that x^6  7x^3  8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and 1, but I can't figure out how to get the imaginary … 
Maths
q2) a) write the equation cos2x + 8cosx+9=0 in terms of cosx and show that for cosx it has equal roots q2b) show that there are no real roots for x. for q2 i have tried to do it but i get upto the bit 2(cosx+2)(2cosx+2)=0 and i don't … 
Estimation decimal quotient
Use compatible numbers to find the each quotient ,2.90 divided by 29,48 divided by 3.2, 0.18 divided by 0.33,152 divided by 5.12,41.9 divided by 19,33.90 divided by 10.2, 502 divided by 9.5, 180.8 divided by 6 , 48 divided by 3.33, … 
algebra
if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? 
Math
I have more math problems that I will to figure out. 2) 3.1 divided by 4 and 6.4 divided by 9 Estimate 3.1 which would be 3 Estimate 6.4 which would be 6 3 divided by 4 and 6 divided by 9 This one I am totally confused about. The only … 
Math
Ms. Jones wrote the equation below on the board. x divided by 42=21 If the equation Ms. Jones wrote is true which of the following equations must be true?