solve for x :(2-x÷x-5)*2 +10x÷ x-5 -24=0
Answers
The values of x are 4 and 15.
Step-by-step explanation:
{2x/(x - 5) }² + 10x/(x - 5) - 24 = 0
Multiplying by (x - 5)² both sides
4x² + 10x(x - 5) - 24(x - 5)² = 0
Dividing by 2 both sides
2x² + 5x(x - 5) - 12(x² -10x + 25) = 0
2x² + 5x² - 25x - 12x² + 120x - 300 =0
-5x² +95x - 300 =0
x² - 19x + 60 = 0
x² -4x - 15x + 60 = 0
x(x - 4) - 15(x - 4) =0
(x - 15)(x - 4) =0
x = 4 or 15
Hence the value of x is 4 and 15
Also learn more
Solve for x : (2x-3)2 = 16
https://brainly.in/question/11535318
Answer :-
The values of x are 4 and 15.
Step-by-step explanation:
{2x/(x - 5) }² + 10x/(x - 5) - 24 = 0
Multiplying by (x - 5)² both sides
4x² + 10x(x - 5) - 24(x - 5)² = 0
Dividing by 2 both sides
2x² + 5x(x - 5) - 12(x² -10x + 25) = 0
2x² + 5x² - 25x - 12x² + 120x - 300 =0
-5x² +95x - 300 =0
x² - 19x + 60 = 0
x² -4x - 15x + 60 = 0
x(x - 4) - 15(x - 4) =0
(x - 15)(x - 4) =0
x = 4 or 15
Hence the value of x is 4 and 15
Also learn more
Solve for x : (2x-3)2 = 16