SOLUTION: Which of the following are solutions to the equation below? Check all that apply.
(5x - 2)2 = 10
A. x = -sqrt 10 + 2 /5
B. x = -sqrt 12/5
C. x = sqrt 10 + 2 /5
D. x = -sq
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Question 949465: Which of the following are solutions to the equation below? Check all that apply.
(5x - 2)2 = 10
A. x = -sqrt 10 + 2 /5
B. x = -sqrt 12/5
C. x = sqrt 10 + 2 /5
D. x = -sqrt 2 +2
E. x = sqrt 12/5
F. x = sqrt 2 + 2
Found 3 solutions by MathLover1, josgarithmetic, Theo:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
........take square root of both sides
or
if , then
if , then
or
or
so, your solutions are:
A.
and
C.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The 2 looks like a factor and needs to be written (5x - 2)^2 = 10.
Simply reversing everything done to x, and doing so to BOTH sides of the equation, will give solutions for x.
What was done to x?
multiplied by 5;
added negative 2;
squared;
All of that set equal to 10.
What to do to solve?
Undo everything going in reverse of the sequence of steps.
ANSWER: NONE of the choices listed is correct.
You should find the solution is equivalent to .
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
selection C looks good.
x = (sqrt(10) + 2) / 5
start with (5x-2)^2 = 10
take the square root of both sides of the equation to get:
5x-2 = plus or minus sqrt(10)
add 2 to both sides to get 5x = 2 plus or minus sqrt(10)
divide both sides by 5 to get x = (2 plus or minus sqrt(10)) / 5
if you break the solution up into it's constituent parts, you get:
x = (-sqrt(10) + 2) / 5
or
x = (sqrt(10) + 2) / 5
that looks like selections A and C except you didn't show the parentheses that belong there because it's the whole thing divided by 5, not just the 2.
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