SOLUTION: ______
√7x + 29 = x + 3
Algebra.Com
Question 150473: ______
√7x + 29 = x + 3
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
= x + 3
:
Square both sides, this gets rid of the radical on the left
7x + 29 = (x+3)^2
:
FOIL (x+3)(x+3)
7x + 29 = x^2 + 6x + 9
:
0 = x^2 + 6x - 7x + 9 - 29
:
A quadratic equation:
x^2 - x - 20 = 0
:
Factors to:
(x-5)(x+4) = 0
:
The positive solution
x = 5
:
Check in the original equation
= 5 + 3
= 8
:
The negative solution
x = -4
Check in original equation
= -4 + 3
= -1
= -1
+1 does not = -1
:
Only x=5 is a solution
RELATED QUESTIONS
square root... (answered by jim_thompson5910)
1. √(-3x+28) = x 2. √(5x+56) = x 3. √(7x+44) = x 4. √(2x+35)
1.... (answered by ewatrrr)
Simplify... (answered by Edwin McCravy)
√(X-2)=... (answered by funmath)
√x-3 = √x+2 -... (answered by ankor@dixie-net.com)
3√(x-1)=√(3x+3) (answered by Earlsdon)
if x=1 upon 2-√ 3 find value of x3-2x2-7x+5 (answered by sachi)
√x - 1 =... (answered by adamchapman)
√x^3 =... (answered by adamchapman)
√(2x+1)+√(x-3)=2 (answered by stanbon,MathTherapy,ikleyn)