Square Root Equations
The solution to
sqrt(2x) + 6 = 12
What is 18?
The solution to
cube root (x) + 10 = 16
What is 216?
The y-intercept of
sqrt(x+4) + 6
What is 8?
The domain of
sqrt(x+4) + 6
x > -4
The solution of
sqrt(6x - 5) + 10 = 3
What is no solution?
The solution to
sqrt(2x - 1) = sqrt(x + 4)
What is 5?
The solution to
cube root (2x) + 14 = 8
What is -108?
The y-intercept of
3*cube root(x - 8) + 12
What is 6?
The domain of
cube root(x - 8) + 12
all real numbers
The solution to
sqrt(4x - 3) - sqrt(3x) = 0
What is 3?
The solution to
(4x + 100 )1/2 = 20
What is 75?
The solution to
cube root (x + 9) = cube root (8x - 5)
What is 2?
The x-intercept of
3*sqrt(x+6) - 6
What is -2?
The range of
cube root(x + 1) + 5
all real numbers
A solution to a derived equations that is not a solution to the original equation.
What is an extraneous solution?
The solution to
sqrt(x2 + 5) = x + 3
What is -2/3?
The solution to the equation
cube root(x - 7) = cube root(0.75x + 1)
What is 32?
The x-intercept of
2*cube root(x + 1) + 8
What is -65?
The range for
y = -2sqrt(x + 9) - 4
What is y < -4?
The solution to
6*sqrt (x) - sqrt (x - 1) = 0
What is no solution?
The sum of the solution(s) for
sqrt(8x + 1) = x + 2
What is 4?
(solutions were 1 & 3)
For a 3500 pound car drag racing, there is a relationship between the speed, s, in mph, and the power, p, in horsepower which is
s = 14.8*cube root (p).
Determine the power of the car that reaches a speed of 100 mph. Round your answer to the nearest horsepower.
What is 300 horsepower?
Three key points (using integers) from the equation
y = 3*cube root(x + 2) - 1
What are the ordered pairs
(-2, -1), (-1, 2), (-3, -4)?
The domain for
y = 5sqrt(-x) + 3
What is x < 0?
Scientists have found that the shoulder height h, in cm, of a male African elephant can be modeled by the equation
h = 62.5*cube root(t) + 75.8
where t is the age in years of the elephant. Estimate the age of the elephant (to the nearest year) whose should height is 2 meters.
What is 8 years old?