algebra
Solve the given equations:
1. |2x-5|= 29
Answer: x=17
or is it........
x=-12
2. 5(x+3)-2x = -21
Answer: x=-12
3. 3x+3(1-x)= x-17
Answer: x=20
4. 2[1-3(x+2)] = -x
Answer: x= -2
Factor Completely:
1. x^2-12x+20
Answer: (x-2)(x-10)
2. x^2-x-20
Answer: (x-5)(x+4)
3. x^2-49
Answer: (x+7)(x-7)
4. 4x^2-5x-6
Answer: (4x+3)(x-2)
1. |2x-5|= 29
Answer: x=17
or is it........
x=-12
Reply
Answers
This problem has two possible solutions: x=17 or x=-12. When the absolute value of 2x-5 is set equal to 29, it means that 2x-5 must either be equal to 29 or it must be equal to -29. To find the two possible solutions, you must set 2x-5 equal to each of these values and then solve the resulting equations. If you set 2x-5 equal to 29, the answer is x=17. If you set 2x-5 equal to -29, the answer is x=-12.
