Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
Answer:
x = 2
Step-by-step explanation:
x + 3 = -x + 7
Add x to each side
x+x + 3 = -x+x + 7
2x+3 = 7
Subtract 3 from each side
2x = 7-3
2x = 4
Divide by 2
2x/2 = 4/2
x = 2
Answer:
no
Step-by-step explanation:
Given
1 + 4(3x - 10) - 12x ← distribute the parenthesis
= 1 + 12x - 40 - 12x ← collect like terms
= 1 - 40
= - 39 ≠ - 9
Answer:
1 1/3
Step-by-step explanation:
2(8/12)=16/12=1 4/12=1 1/3
Its because the power of zero is undefined