Question

How to find value of discriminant & number of solutions??
5x² - 4x + 6 = 0

Answer 1

use formula of discriminants... and solve... b^2-4ac.... here a=5...b=-4...c=6

Answer 2

What is the formula of discriminants?

Answer 3

b^2-4ac

Answer 4

Ok So it's 16=120 which would be 7.5 ?

Answer 5

If the discriminant is more than zero, the equation has two solutions, if it is equal to zero there is one solution, and if it's less than zero there are no solutions.

Answer 6

how 120... please show your work....

Answer 7

If it's equal to zero there will be two solutions, identical to each other.

Answer 8

Since your discriminant is 7.5 (more than zero) there are two solutions.

Answer 9

@paki
I did b² (16) = 4 x 5 (a) x 6 (c) which was 120

Answer 10

b^2-4ac= (-4)^2-4(5)*(6)

Answer 11

when solve it will give us -104

Answer 12

\(\ \sf \sqrt{b^2 - 4ac} \)

\(\ \sf A =\color{green}{ 5}\)
\(\ \sf B =\color{blue}{-4}\)
\(\ \sf C =\color{green}{ 6}\)

\(\ \sqrt{ (\color{blue}{-4}) -4(\color{green}{5)(6)}} \)

\(\ \sf \sqrt{16 -4(30)}\)

\(\ \sf \sqrt{16 - 120}\) Now you get it? Continue :D

Remember the rules for discriminates; If the discriminant is more than zero, the equation has two solutions, if it is equal to zero there is two solutions, each solution is identical, if it's less than zero there are no solutions.

Answer 13

Oh sorry I dint see the minus sign!
16 -120 = -104

Answer 14

And it's no solution

Answer 15

The reason there are no solutions is because the vertex doesn't touch the x axis

Answer 16

@Bloom23 so what will be the answer now :_)

Answer 17

yup, no solution... good...

Answer 18

There is no solutions because you get a negative number, no number times itself is negative, 4*4 = 16, -4*-4 = 16, -4 * 4 isn't times itself. You would get a complex solutions

i√104

Answer 19

Ok thank you!
@paki
@tHe_FiZiCx99
@wiggler

Answer 20

pleasure :)

Answer 21

You're welcome :)