Algebra
posted by John .
Two more I would like to check my work on:
Solve using the square root property:
(x+6)^2 = 4
x+6 = sqrt4 x+6 = sqrt4
x+6 = 2 x+6 = 2
x+66 = 26 x+66 = 26
x = 4 x = 8
Solve by completing the square:
x^2+6x+1=0
x^2+6x+11 = 01
x^2+6x = 1
x^2+6x+9 = 1+9
(x+3)^2 = 1+9
(x+3)^2 = 8
sqrt(x+3)^2 = sqrt8
x+3 = +sqrt8
x+33 = 3 +sqrt8
x = 3 +sqrt8
x = 3 sqrt8 , x = 3 +sqrt8
x = 3 2sqrt2 , x = 3 +2sqrt2

Algebra 
Reiny
both correct

Algebra 
John
Thankyou.
Any idea what I am doing wrong in step 7 of this problem?
Solve using the quadratic formula :
x^23x=7x2
x^23x7x+2=7x7x2+2
x^210x+2=0
x = 10 + sqrt10^2  4(1)(2) / 2(1)
x = 10 + sqrt100  8 / 2
x = 10 + sqrt92 / 2
x = 10 + 2sqrt23 /2 (I divided 10by2 and 2by2 and came up with the next step.)
x = 5 + sqrt23
x = 5 + sqrt23 and x = 5  sqrt23 
Algebra 
Reiny
other than using brackets in the proper places, your solution is correct
I would write your final lines this way...
x = [10 + sqrt10^2  4(1)(2)] / 2(1)
x = (10 ± √92)/2
= (10 ± 2√23)/2
= 5 ± √23
Respond to this Question
Similar Questions

maths
Hi, could someone please tell me how I would go about working these out: (the answer must be in the form a(sqroot)b where a and b are integers and b is as small as possible.) 1) Simplify (sqroot)500 2) Simplify (sqroot)50 x (sqroot)60 … 
algebra
evaluate and simplify 6  square root20  2 The square root of 20= sqrt (4*5)= sqrt4 * sqrt5= 2 sqrt5 The square root of 20= sqrt (4*5)= sqrt4 * sqrt5= 2 sqrt5 
algebra
The sqrt of 12x^4 sqrt12= sqrt(4*3)= sqrt4 * sqrt3 what is the sqrt4, and what is the sqrt x 4 ? 
Pre Algebra
Please help me with some problems. Thank you! Solve the equation by square root property. 3. 2x^2 = 26 I don't understand how to solve this problem. Solve the equation using the quadratic formula. 7. 7x^2=8x 2 This is what I got … 
Algebra
Hello all  I would like to check my work on 2 problems. Solve by factoring : x^213x= 12 x^213x+12= 12 + 12 x^213x+12= 0 (x1)(x12)= 0 x = 1 , 12 Solve using the square root property: 2x^235=15 2x^23515=0 2x^250=0 2(x5)(x+5)=0 … 
Algebra
how do you simplify square root of 27 minus square root of 49 all divided by square root of 3. I have gotten two different answers when I tried to check it. It kind of looks like (2749) (3) except all the numbers have their own square … 
Algebra 2
Simplifiy the expression. sqrt4/49 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra help please
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root …