Question

Prove 2+2=5
It's very Simple.....!!​

Answer 1

heya!!

we know that

4-9/2 is (8-9)/2 =-1/2
and 5-9/2 is (10-9)/2 =1/2

as (1/2)²=1/4=(-1/2)²
so (1/2)²=(-1/2)²
5-9/2=4-9/2
5=4
5=2+2

hope it helps

Answer 2

I didn't get the general method for this, so I used another method on my own!!!

⇒ Consider the equality given below.

$\frac{3x+4}{3x+5}=\frac{3x+5}{3x+4}$

⇒ Do cross multiplication.

$(3x+4)(3x+4)=(3x+5)(3x+5) \\ \\ (3x+4)^2=(3x+5)^2$

⇒ Take the square roots of both sides.

$3x+4=3x+5$

⇒ Now cancel 3x from both sides, so that,

$4=5 \\ \\ 2+2=5$

⇒ Hence proved!!!

Here the contradiction occurred is at that where the square root was taken. As any number has a positive as well as a negative square root, in that equation 3x + 4 = 3x + 5, either LHS is positive and RHS is negative, or LHS is negative and RHS is positive. But I took both as positives.

Actual method after cross multiplication is as follows:

$(3x+4)^2=(3x+5)^2 \\ \\ \mid3x+4\mid\ =\ \mid3x+5\mid \\ \\ 3x+4=-(3x+5)\ \ \ \ \ \ \ \ \ \ OR\ \ \ \ \ \ \ \ \ \ -(3x+4)=3x+5 \\ \\ 3x+4=-3x-5\ \ \ \ \ \ \ \ \ \ \ \ OR\ \ \ \ \ \ \ \ \ \ \ -3x-4=3x+5 \\ \\ 3x+3x=-4-5\ \ \ \ \ \ \ \ \ \ \ \ OR\ \ \ \ \ \ \ \ \ \ \ -5-4=3x+3x \\ \\ 6x=-9 \\ \\ x=\bold{-\frac{3}{2}}$

So this is the actual method. When I went through this prob one day, I got that such methods are useful for proving such contradictions.

Based on this, I've posted a 'challenge' question in this app. Please have a look at my question and the brilliant answers for it.

https://brainly.in/question/8277312

Edit: Also, for such equality, we can find the value of x by a simple method...!!!

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$If\ \ \frac{ax-b}{ax-c}=\frac{ax-c}{ax-b}, \\ \\ then,\\ \\ \boxed{x=\frac{b+c}{2a}}$