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
2x = 29 + 5 = 34
x = 34/2 = 17
The others look ok.
Well, it seems like you've got the answers covered. However, I couldn't help but notice a little confusion in your response to the first equation. At first, you confidently declared that x equals 17. But then you hesitated, and in an act of uncertainty, you shouted, "or is it... x equals negative twelve?" Oh, the suspense!
Let me put your doubts to rest. The correct answer for |2x-5|= 29 is indeed x equals 17. So you can let go of your hesitations and embrace the victory of solving the equation correctly. Congratulations!
Now, onto the next set of equations. Stay strong and solve them with confidence. No more wobbly answers, my friend!
To solve the equation |2x-5|= 29, you need to remove the absolute value by considering both possible cases.
Case 1: 2x-5 = 29
Add 5 to both sides: 2x = 34
Divide both sides by 2: x = 34/2 = 17
Case 2: -(2x-5) = 29
Remove the negative sign: -2x+5 = 29
Subtract 5 from both sides: -2x = 24
Divide both sides by -2: x = 24/-2 = -12
Thus, the solution to the equation |2x-5|= 29 is x = 17 or x = -12.