Question

Find all values of
h
for which the quadratic equation has no real solutions.
=+8x2+3xh0
Write your answer as an equality or inequality in terms of
h.

Answer 1

\[8x^2+3x+h=0\]

Answer 2

@hartnn

Answer 3

@kropot72

Answer 4

@Nnesha

Answer 5

@camerondoherty

Answer 6

YES H

Answer 7

HELP ME

Answer 8

@Abhilash11 help

Answer 9

from the standard form

y = ax^2 + bx + c

the 'discriminant' is defined as b^-4ac

IF the discriminant is positive or 0 then there are real roots

If the discriminant is negative then there are no real roots

(You canb see this from the quadratic formula because you cannot have a real sqrt of a negative number)

Answer 10

Exactly^ this is how you gotta proceed @mathgirl2012

Answer 11

ok so like the part inside of the square root in the quadratic formula

Answer 12

See, this is how you'll solve. First pick the values
a =
B=
C =

Answer 13

\[x= \frac{ -b \pm \sqrt{b ^{2}-4ac} }{2a }\]

if b^2-4ac is negative then there is no real answer as you can nsee

Answer 14

Yes. yes. perfect!

Answer 15

so yeah ok got it let me try that

Answer 16

good (Y) :-)

Answer 17

oops - I missed out a number above ^^

the discriminant is b^2 - 4 ac

Answer 18

so -23h

Answer 19

@Abhilash11
@MrNood

Answer 20

@Abhilash11
@MrNood

Answer 21

@Abhilash11
@MrNood

Answer 22

Wait, so what exactly is the question?

Answer 23

finding the h that will make the problem have no solution.
The problem is 8x2+3x+h=0

Answer 24

Sorry, I have no idea how to do this cx

Answer 25

@Abhilash11
@MrNood

Answer 26

@hartnn

Answer 27

pls help me @hartnn

Answer 28

@TheSmartOne

Answer 29

@TheSmartOne what do you think

Answer 30

@TheSmartOne I will give u a medal and write a testimony it=f you help me

Answer 31

please @TheSmartOne

Answer 32

So we have...
\(\ 8x^2+3x+h=0\)

Answer 33

And sorry that I didn't come right at once. I tend to help like 2-3 people at the same time.. Have to switch tabs...

Answer 34

ok for there to be no real solutions the discriminant has to be less than 0

Answer 35

The discriminant is \(\Large \sqrt{b^2-4ac}\)

Answer 36

And a,b, and c is in the equation \(\Large Ax^2+bx+c=0\)
And our equation is \(\Large 8x^2+3x+h\)

Answer 37

So our values for A, B, and C are
\(\ A=8\\
B=3\\
C=h\)

Answer 38

So far so good? @mathgirl2012 @~

Answer 39

well just plug in those values into the discriminant and see what value of h would make it less than 0