4 * 3 2X+2 - 9 2X = 243 FIND THE SUM OF THE REAL VALUES OF X - Maths - Polynomials

Question

4 * 3 2X+2 - 9 2X = 243 FIND THE SUM OF THE
REAL VALUES OF X (ASKEK IN CBSE BOARD PAPER 2010)

Varun.Rawat · Accepted Answer

4   32x+2 - 92x = 243⇒36 
 32x - 322x = 243⇒36 
 32x - 32x 
 32x = 243   
1put 32x = yNow, 1 becomes,  36y - y2 = 243⇒y2 - 36y + 243 = 0⇒y2 -27y - 9y + 243 = 0⇒yy-27 - 9y-27 = 0⇒y-9y-27 = 0⇒y = 9  or  y = 27Now, when y = 9     32x = 9 ⇒32x = 32⇒2x = 2⇒x = 1When y = 27     32x = 27⇒32x = 33⇒2x = 3⇒x = 32Now, x = 1, 32sum of values of x = 1 + 32 = 52

4 * 3 2X+2 - 9 2X = 243 . FIND THE SUM OF THE REAL VALUES OF X (ASKEK IN CBSE BOARD PAPER 2010)

4 * 3 ^2X+2 - 9 ^2X = 243 . FIND THE SUM OF THE REAL VALUES OF X (ASKEK IN CBSE BOARD PAPER 2010)