Question

Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)

25 + 4x2=-20x

Answer 1

ive done this problem and i got the answer inncorrect and im not sure why just trying to compare answers with someone for my online class

Answer 2

once you put the equation into polynomial form, the discrimanent is the part under the square root in the quadratic formula

Answer 3

i'll work it out with you

Answer 4

its (4)^2-4(25)(-20) right?

Answer 5

4x^2 + 20x + 25 = 0

so
a=4
b=20
c=25

then the discrimnant is
b^2 - 4ac
so
20^2 - 4 (4) 25 = 0

now here are the root possibilities depending on what the value of the discrimiant is: (by the way, ours is 0)

if its > 0, the roots are real numbers and unequal
if its = 0, the roots are real numbers and equal
if its < 0, the roots are complex numbers and unequal

make sense?

Answer 6

oo im sorry i wrote 20 and 4 in different places :/

Answer 7

could you help me on Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)

2x -5 = -x2

Answer 8

is it (5)^2-4(2)(-1)??

Answer 9

2x - 5 = -x^2

first move all the terms to one side
x^2 + 2x - 5 = 0

then identify the A, B, C coeffients whcih go into the quadratic equation.
now, these are the posistions of the coefficients A, B, C
Ax^2 + Bx + C = 0 <- this is the standard form

so we will extract A, B, and C from your equation using the placements given to us from the standard form, so
A = 1
B = 2
C = -5

make sense so far?

Answer 10

yuppp got it

Answer 11

wait soo it would b (2)^2-4(1)(-5)

Answer 12

yep, you got it!

Answer 13

thank ya

Answer 14

you are welcome