Question

the solution of (2x-3)square = 25 is​

Answer 1

Answer:

+1 and -1

Step-by-step explanation:

Given:

(2x -3)^2 = 25

Squaring both sides:

2x-3 = 25 ^1/2

2x - 3= +- 5

Case one :

2x -3 = +5

x = 1

Case 2:

2x- 3 = -5

x = - 1

Therefore, we will have 2 solutions +1 and -1

Hope you like my answer. Hit like or follow.

Happy learning!

Answer 2

Answer:

x = -1, 4  ans...

Step-by-step explanation:

(2x-3)² = 25

4x² + 9 - 12x = 25

4x² -12x = 25-9

4x² -12x = 16

4(x² -3x) = 16

x² -3x = 16/4

x² -3x = 4

x² -3x -4 = 0

x² -4x +x -4 =0

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

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

therefore,  (x+1) = 0

                 x = -1

                     

                   (x-4) = 0

                   x = 4