SOLUTION: For the problem below, 1 is an extraneous solution and the solution is 2 and 9. True or false? why?
square root of 2x+9-square root of x+1=2
Algebra.Com
Question 240743: For the problem below, 1 is an extraneous solution and the solution is 2 and 9. True or false? why?
square root of 2x+9-square root of x+1=2
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
sqrt(2x+9)-sqrt(x+1)=2
3x-(2sqrt(2x+9)*sqrt(x+1))+10=4 square each side
-(2sqrt(2x+9)*sqrt(x+1))=-3x-6
8x^2+44x+36=9x^2+36x+36 square each side
x^2-8x=0 Subtract the left side from the right.
x(x-8)=0
x=8, x=0
.
Ed
RELATED QUESTIONS
The square root of 0.9 is 0.3 is the statement true or... (answered by MathLover1,greenestamps)
true or false: (-5, 3, -2) is a solution to the equation... (answered by checkley71)
find the solution set of square root of (2t+4)= square root of (t-1) and check for... (answered by tommyt3rd)
Decide whether each of the following is true or false:
a. 6!/3=2!
b. 6!/5!=6! (answered by ewatrrr)
Hi, can you help me please with this equation?
Square root of (3x+10) = x+2
Upon... (answered by scott8148)
4. The ordered pair (0,3) is a solution for the equation 5x - 3y = 9.
True or... (answered by Fombitz)
Solve the equation. Identify any extraneous solutions. a=√(-2a)
A. –2 is a... (answered by KMST)
Which statement best reflects the solution(s) of the equation?
The equation and answer (answered by Boreal)
Dear Algebra II tutor,
I am having trouble solving and checking thje extraneous solution (answered by solver91311)