Algebra II Sol Strands

Solve. Check for extraneous solutions.

2/3(2x-3)+5=1/2(x+4)

• x=24/5

• x=5/24

• x=10/3

• x=-10/3

Solve. Check for extraneous solutions.

|3x-1|=5

• x=2, -4/3

• x=2, -4/3

• No Solution

• x=2

Solve. Check for extraneous solutions.

|x-5|+3=2

• x=4, 6

• x=-4, -6

• No Solution

• Infinite Solutions

Solve. Check for extraneous solutions.

7x-5x²+4=26x

• x=1/5, -4

• x=-1/5 4

• No Solution

• x=4, 1/5

Solve. Check for extraneous solutions.

2x²-x=20

• x=(-1±√(161))/4

• x=(-1±√(-159))/2

• x=(1±√(161))/4

• x=(-1±√(161))/2

Solve. Check for extraneous solutions.

x²-4x+7=0

• x=2±√3

• x=±i√3

• x=-2±i√3

• x=2±i√3

Solve. Check for extraneous solutions.

2(x-7)²-48=4

• x=7±√26

• x=-7±√26

• x=7±√-10

• x=7±i√10

Solve. Check For extraneous solutions.

3x³+2x²-27x=18

• x=±3

• x=-2/3, ±9

• No Solution

• x=-2/3, ±3

Solve. Check for extraneous solutions.

x⁴+3x²-28=0

• x=±2, ±i√7

• x=2, ±i√7

• x=±2, i√7

• x=±2, ±√7

Solve. Check for extraneous solutions.

√(7x-12)=x

• x=4, 3

• x=6, -2

• x=-4, -3

• x=12, 1