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

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

anonymous · Answer

@mathstudent55 can you help?

anonymous · Answer

Do you know what to find the discriminant?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

what about #5?

anonymous · Answer

There is no number 5

anonymous · Answer

oh hah well what about this one? 

2 = x^2 + 5x

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Okay thanks anyway

anonymous · Answer

YW