Question

Use the discriminant to describe the roots of each equation. Then select the best description.

7x2 + 1 = 5x



double root

real and rational root

real and irrational root

imaginary root

Answer 1

Hi, @magan ,
Your best bet is to actually find the roots of 7x2 + 1 = 5x, or\[7x^2 + 1 = 5x\]
First, put the equation into standard form by moving that 5x term to the left side. To do this, subtract 5x from both sides.

Next, compare the resulting equation to

\[ax^2 + bx + c = 0\]
and determine what the values of a, b and c are.

What are they?
a= ?
b= ?
c= ?