Solving Equations with Square Roots: Part 2 Challenge

Eliminate addition or subtraction

Square both sides of the equation

Eliminate multiplication or division

Eliminate exponents

Take the square root of both sides

Cube both sides of the equation

Eliminate multiplication or division

Addition or subtraction

X = 2

X = 4

X = ±2

X = ±4

Only positive solutions

Only negative solutions

Both positive and negative solutions

No real solutions

Both give a result of 18 when plugged into the equation

Only one gives a result of 17 when plugged into the equation

Both give a result of 17 when plugged into the equation

Both give a result of 16 when plugged into the equation

Cube both sides of the equation

Eliminate multiplication or division

Eliminate the cube root

Eliminate addition or subtraction

X cubed = -1

X cubed = 1

X cubed = 4

X cubed = 0

1

-2

0

-1

Because the original equation only has a negative solution

Because the cube root of a negative number is always negative

Because the cube root operation was incorrectly applied

Because the cube root of a number can only be positive

X = 2

X = 0

X = -1

X = 1