`(1)/(sqrt(1-(3x - 7)^(2)))` का समाकलन कीजिये -

int(1)/(sqrt(1-(3x-7)^(2)))

If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :

यदि x+(1)/(x)=sqrt(3) है तब x^(3)+(1)/(x^(3)) का मान होगा -

The expression : (1)/(sqrt((3x + 1))) ( { ( (1 + sqrt(3x + 1))/(2) )^(7) - ( (1 - sqrt(3x + 1))/(2))^(7) } ) is a polynomial in x of degree is :

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

If x=sqrt(1+ sqrt3/2)-sqrt(1- sqrt3/2) , then the value of (sqrt2-x)/(sqrt2+x) will be closest to : यदि x=sqrt(1+ sqrt3/2)-sqrt(1- sqrt3/2) है, तो (sqrt2-x)/(sqrt2+x) का मान ( लगभग ) क्या होगा ?

" 2.(i) sqrt(3x+1)-sqrt(x-1)=2

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।

The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) - (( 1- sqrt ( 3x +1))/(2))^(7)] is a polynomial in x of degree eual to

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then