₦airaland Forum

thankyouJesus:
Smiles.. .. Your solution doesn't conform to Mathematics.. .. Why the use of 1+1 and not 5-3 or any operation that can yield 2?

Goan argue with your ancestors

Evangkatsoulis:
your binomial expansion isn't complete. Why did you stop at the third term?

You can proceed to the next term based on choice.

freemandgenius:
Hey, where are the mathematicians here. Solve this with proves- 2^x=4x. Find x . Show full workings and earn a Christmas gift from me. The first to get it with proves.

Solu.

2^x =4x

Divide through by "4"

2^x/4 =4x/4

2^x/2^2=x

2^(x-2)=x......law of indices

The same as: (1+1)^(x-2)=x

Using Binomial theorem:

(1+a)^n=1+an+n(n-1)a^2/2! +......

Where a=1 and n=x-2

Substituting, we gat:

1+(x-2)+(x-2)(x-2-1)/2!=x

1+x-2 +(x-2)(x-3)/2=x

1+x-2 +(x^2-5x+6)/2=x

Multiply through by "2"

2+2x-4+x^2-5x+6)=2x

Simplifying the equation

x^2-5x +4=0.......quadratic equation

Factorize the quadratic equation

X^2-4x-x+4=0

(x^2 -4x)-(x-4)=0

x(x-4)-1(x-4)=0

(x-4)(x-1)=0

x=4 or 1

Checking: X=1 does satisfy the equation, hence it's an extraneous equation.

Hence, valid answer is x=4


X=4.....Q.E.D



My gift

ojun50:
Na only Christian thy born again Muslim them no dey born again.

Mohammed no dey gree make dem born again .

May the souls of the deceased rest with the Lord