Find all rational solutions of the equation x8−4x5+13x3−7x+1=0.

The rational roots of the equation are:

x= -1.10355

x= 0.148953

x= 0.706883

x= -1

Step-by-step explanation:

We have to find the rational solutions of the algebraic equation:

This equation could also be written as:

for finding the roots of the equation we have to find the possible values of x.

Clearly the equation has 8 roots as the degree of the equation is 8.

from the graph of the following function we could see that the rational roots of the function are:

x= -1.10355

x= 0.148953

x= 0.706883

x= -1

The rest 4 roots of the equation are the complex roots.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

answer: h=5.6 i don't really know how to put into words, so i though i would let you do that. i hope i was able to some

step-by-step explanation:

18 = 6(h)+1/2

18 = 6h+1/2

18-1 = 6h/2

17 = 3h

17/3 = h

h = 5.6