Asked by barb
                I only have 1 hour to get this question answered. Thank you in advance. I need a quadratic equation in the variable x given the solutions: 
-7 sqrt 7, and 7 sqrt 7
This needs to be in the standard form of ax^2+bx+c=0.
Can someone please help me with this???? I am so lost!!!!
            
        -7 sqrt 7, and 7 sqrt 7
This needs to be in the standard form of ax^2+bx+c=0.
Can someone please help me with this???? I am so lost!!!!
Answers
                    Answered by
            MathMate
            
    For a quadratic equation with given zeroes z1 and z2, the equation is:
(x-z1)(x-z2)=0
In the given case, z1=-7√7 and z2=7√7.
Expand and simplify the resulting expression on the left-hand-side, and equate coefficients of powers x², x and constant term to get the values of a, b and c.
I gave you response to a similar question, except that I forgot the variable x, which should have read:
x² -5√5<b>x</b> -30 = 0
see:
http://www.jiskha.com/display.cgi?id=1289541351
    
(x-z1)(x-z2)=0
In the given case, z1=-7√7 and z2=7√7.
Expand and simplify the resulting expression on the left-hand-side, and equate coefficients of powers x², x and constant term to get the values of a, b and c.
I gave you response to a similar question, except that I forgot the variable x, which should have read:
x² -5√5<b>x</b> -30 = 0
see:
http://www.jiskha.com/display.cgi?id=1289541351
                    Answered by
            barb
            
    I understand, although mathlab checked it wrong and gave me this problem. I SIMPOLY do not understand this when it comes to radicals. And furthermore mathlab has a habit of checking problems wrong when they are indeed right.I understand how to FOIL, I just do not know how to work the radicals, CAN YOU PLEASE HELP ME!!!! This is due in 1 hour. Thank you so much!!!
    
                    Answered by
            bobpursley
            
    And you are paying for Mathlab?
    
                    Answered by
            Reiny
            
    Just follow MathMate instructions and set it as
(x - 7√7)(x+7√7) = 0
looks like the difference of squares pattern, so ...
x^2 - 343 = 0
then
a=1
b=0
c=-343
try that as input
    
(x - 7√7)(x+7√7) = 0
looks like the difference of squares pattern, so ...
x^2 - 343 = 0
then
a=1
b=0
c=-343
try that as input
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