(if)(2x+1)^(2)+(x+1)^(2)=6x+47

Long-answer type questions (L.A.) (2x+1)^(2)+(x+1)^(2)=6x+47

Check whether the following equations are quadratic or not . (i) x^(2) - 6x - 4 = 0 (ii) x^(3) - 6x^(2) + 2 x - 1 = 0 (iii) 7x = 2x^(2) (iv) x^(2) + (1)/(x^(2)) = 2 (v) (2x + 1 ) (3 x + 1 ) = 6 (x - 1) (x - 2) (vi) 3y^(2) = 192

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

The equation (2x^(2))/(x-1)-(2x +7)/(3) +(4-6x)/(x-1) +1=0 has the roots-

The equation (2x^(2))/(x-1)-(2x +7)/(3) +(4-6x)/(x-1) +1=0 has the roots-

The equation (2x^(2))/(x-1)-(2x +7)/(3) +(4-6x)/(x-1) +1=0 has the roots-

Each of the following is a term in the polynomial which is the product of (x + 1), (3x ^(2) + 6x) and (2x ^(2) + 6x -1) except.

If ( x^(8) + ( 1)/( x^(8)))= 47 , what is the value of ( x^(6) + ( 1)/( x^(6))) ?

Using the properties of determinants, prove that following : |{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(1-x),x(x-1)(x-2),x(x+1)(x-1)):}|=6x^(2)(1-x^(2))