Algebra

posted by .

Solve algebraically and check your potential solutions: sqrt((x+2) -x =0

• Algebra -

√x+2 - x = 0
√x+2 = x
x+2 = x^2
x^2 - x - 2 = 0
(x-2)(x+1) = 0

check for validity

√(2+2) - 2 = 2-2 = 0 ok
√(-1+2) - (-1) = 1 - (-1) = 2 nope

Note that if you had taken the minus √, it would have been ok. But √4 does not mean ±2 - it's just 2.

Similar Questions

1. Algebra

Solve for s: h=(square root of 3)times s/2 and solve for h V= (pi)r squared h / 3 Solve for s: h=(square root of 3)times s/2 Multiply both sides by 2. 2h = (sqrt 3)*s*2/2 which cancels the 2 on the right. 2h = (sqrt 3)*s Now divide …
2. TRig WIth LoGs help1!!

i have problem i can't solve and the book is no help.. anyone got osme hints or somehting i could start off doing?
3. math

solve 2x^2+3x+8=0 and express the solutions in a+bi form. Let's use the quadratic formula to solve for x and express those solutions in a+bi form. x = [-b + or - sqrt(b^2 - 4ac)]/2a Note: sqrt = square root. a = 2, b = 3, and c = 8 …
4. Algrebra

I would appreciate your help with this. Thank you Solve each equation and check for extraneous solutions. [SQRT(x - 3)] - 7=0 2[SQRT(w + 4)]=5 [SQRT(x)]=-2
5. algebra

Solve algebraically and check x^2 + 4y^2 = 4 x = 2y - 2

1. solve sqrt (11-x) = sqrt(x-7) choices are 6,7,8 or9 I think according to my calcs the answer is (9) The range of f(x) = sqrt(3x-6) - 2 answers would be y<= (-2) y>= (-2) y> (-2) y<=(2) I think the answer is y <= -2, …
7. Algebra 2

solve each equation. check for extraneous solutions. sqrt(2x+1)+sqrt(2x+6)=5 please show work!!!!!
8. Algebra/Precalculus

Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x-3y+6z=6 x+2y-z=8 5x-8y+13z=4 …
9. Algebra

Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x-3y+6z=15 x+2y-z=11 5x-8y+13z=19
10. college algebra

Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) x +2z=5 3x-y-z=12 6x-y-5z=27

More Similar Questions