Question

Consider the following statement , 2^4^2 = (2^4)^2
Is the above statement correct ? Show calculations ​

Answer 1

Step-by-step explanation:

Given,

4(x−p)(x−q)−r

2

=0

4x

2

−4xq−4xp+4pq−r

2

=0

4x

2

−(4q+4p)x+4pq−r

2

=0

x=

2⋅4

−(−4q−4p)±

(−4q−4p)

2

−4⋅4(4pq−r

2

)

upon solving the above equation, we get,

x= 2

q+p± p 2 −2pq+r 2 +q 2

x=

2

q+p±

(p−q)

2

+r

2

Now it can be observed that discriminant of the given quadratic equation will always be positive. Thus roots of the given quadratic equation are real.

Also if p=q nad r=0, then discriminant becomes zero, thus quadratic equation will have equal roots if p=q and r=0.