Question

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

1. x^2 - 5x + 7 = 0
2. x^2 - 5x - 4 = 0
3. 16x^2 + 8x + 1 = 0
4. x^2 + 9x + 14 = 0
3 minutes agoEdit Question


here are the options

a.double root
b.real and rational root
c.real and irrational root
d.imaginary root

Answer 1

@mathstudent55 can you help?

Answer 2

Do you know what to find the discriminant?

Answer 3

no can you show me how to do 3 i figured out 1&2

Answer 4

\[
16x^2 + 8x + 1 = (4 x+1)^2=0\\
x=-\frac 14


\]
double roots

Answer 5

\[
b^2 - 4 a c = 64 - 4(16)1=0
\]
double roots

Answer 6

Do you understand it? I did it in two ways.

Answer 7

what about #5?

Answer 8

There is no number 5

Answer 9

oh hah well what about this one?

2 = x^2 + 5x

Answer 10

\[2 = x^2 + 5x\\
x^2 + 5 x -2=0\\
b^2-4ac= 25 +8=33
\\
\text { 33 is not a perfect square. Hence roots are irrationals }
\]

Answer 11

i got a few more...what about this one?
2m^2 + 3 = m

Answer 12

I think, you should ask each question as a new problem, to avoid confusion for other students.

Answer 13

Okay thanks anyway

Answer 14

YW