SOLUTION: Which statement best reflects the solution(s) of the equation?
The equation and answer choices are in the link here: https://prnt.sc/le2sbh
A. There is only one solution: x =
Algebra.Com
Question 1127948: Which statement best reflects the solution(s) of the equation?
The equation and answer choices are in the link here: https://prnt.sc/le2sbh
A. There is only one solution: x = 8.
The solution x = 1 is an extraneous solution.
B. There are two solutions: x = 1 and x = 8.
C. There is only one solution: x = 8.
The solution x = 0 is an extraneous solution.
D.There is only one solution: x = 1.
The solution x = 8 is an extraneous solution.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
-> because we cannot use this solution
=>so, only solution we can use
your answer is: A. There is only one solution: .
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Isolate the radical
Square both sides to get rid of the radical
Solve the quadratic equation by factoring
The two possible solutions are x=8 and x=1.
Because we squared both sides of the equation at one point, there might be extraneous roots. So see if each of the possible roots satisfies the original equation.
x=8: YES
x=1: NO
Note if we had been able to use -2 as the square root of 4, the equation would have been satisfied: -2-1+3 = 0. This will usually (maybe always, I'm not sure) be the case when you solve a radical equation like this and one of the roots is extraneous.
ANSWER: Choice A: one solution, x=8; x=1 is extraneous
RELATED QUESTIONS
Which statement best reflects the solution(s) of the equation?
The equation and answer (answered by Boreal)
Which probability distribution table reflects the data shown in the bar graph?
Is my... (answered by MathLover1)
In a medical study, the heights of a group of men were measured to the nearest inch.... (answered by MathLover1)
What is the inverse of f(x) = (x - 5)^2 for x ≥ 5 where function g is the inverse... (answered by MathLover1,greenestamps)
What is the y-intercept of the exponential function?
{{{ f(x)= -0.25(6)^x+2 - 1 }}}
(answered by math_helper)
Which quadratic function best fits this data?
Is my answer correct?
The question... (answered by MathLover1)
Determine the Probability.
A. 0.1
B. 0.3
C. 0.6
D. 0.8
The diagram for (answered by MathLover1)
Given the functions f(x) = 1/x-2 + 1 and g(x) = 1/x+5 + 9.
Which statement describes... (answered by ikleyn)
Are my choices correct? I want to check my answers.
Sean created this table to... (answered by Theo)