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Answer 1

(a^2 -a -2 )x^2 + (a^2 - 4)x + (a^2 -3a +2 ) = 0 is a quadratic equn

Does there exist a real value for "x" for which the above equation will be an identity in "a"

Answer 2

@nincompoop

Answer 3

@sidsiddhartha

Answer 4

How to check this ?

Answer 5

@mathslover

Answer 6

@satellite73

Answer 7

everyone is clicking here but no answers yet...

Answer 8

yes

Answer 9

Let me try once

Answer 10

take discriminant and you have
\[\triangle = -3z^4+16a^3-20a^2-16a+32\]
if \(\triangle < 0\) --> no solution
if \(\triangle =0\) double root
if \(\triangle >0\) 2 distinct roots
so that we should check whether \(\triangle \geq 0\)
I compute and got a = 2 and some number around -0.85..
Hey, mathematicians, tell me whether I can make conclusion from here? Please correct me if I am wrong

Answer 11

where did u get "z" from

Answer 12

what is z?

Answer 13

oh, that is typo, it's a^4

Answer 14

Gys really appreciate it if u helped me on a question
Medal on this page + Medal on my question page + fan.
@adi.arju.2000
Thanks :)

P.S the question is;
A drum vibrates 180 times in 2 seconds. If the speed of sound is 340m/s, what is the period, frequency and wavelength of the waves produced by the drum? The speed of light is 3 X 10^8m/s.
Thanks :')

Answer 15

Sry for puttin this on a random question
:/

Answer 16

After the expressing the quadratic eqn in the form of f(x) a^2 + g(x) a + h(x) = 0,
I think it can be an identity for some value of x , say n, only if f(n) = g(n) = h(n) = 0.

Answer 17

ok i will see this late ty all for the help

Answer 18

what exactly do you mean by identity in a?

Answer 19

Perhaps it means that the expression should be true for any value of a.

Answer 20

oh I see... thanks :)