SOLUTION: Solve by completing the square. x^2 -14x +49 = 0 I came up with the answer of 7, 7 for this problem. Is this correct? ___________ ___________ ___________ ___________ ___________

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve by completing the square. x^2 -14x +49 = 0 I came up with the answer of 7, 7 for this problem. Is this correct? ___________ ___________ ___________ ___________ ___________       Log On


   



Question 76791: Solve by completing the square. x^2 -14x +49 = 0
I came up with the answer of 7, 7 for this problem. Is this correct? ______________________________________________________________________-
Solve. (x-2)^2 =7
I came up with two answers for this problem but the answer given for the test has only one and I need some help...Thanks. My answer is x=sqrt%287%2B2%29,x=-sqrt%287%2B2%29. The options for this problem are:
a)+ 51
b)+sqrt%2851%29
c)-2 + sqrt%287%29
d)2 + sqrt%287%29
________________________________________________________________________________
Solve. sqrt%282x%2B4-2=0%29
I came up with the answer of -3 for this problem. Is this correct? The answer options are:
a)0
b)-2
c)-3
d)No Solution
_____________________________________________________________________________--
Find the distance between (10, 0) and (-1, 0).
I am not sure how to do this...the answers it provids is :
a)9
b)11
c)sqrt%28101%29
D)19
Thanks for your help, it is very much appreciated in advance.

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
7&7 IS CORRECT.
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(X-2)^2=7
X^2-4X+4=7
X^2-4X-3
USING THE QUADRATIC EQUATION WE GET:
X=(4+-SQRT[-4^2-4*1*-3])/2*1
X=(4+-SQRT[16+12])/2
X=(4+-SQRT[28])/2
X=(4+-5.29)/2
X=(4+5.29)/2
X=9.29/2
X=4.65 ANSWER.
X=(4-5.29)/2
X=-1.29/2
X=-.65 ANSWER.
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SQRT(2X+4-2)
SQRT(2X+2)
SQRT2(X=1)
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ANSWER IS B)
DISTANCE =X2-X1=10-(-1)=10+1=11
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