SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 4; only solution

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 4; only solution       Log On


   

Question 476337: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
4; only solution

Found 2 solutions by jorel1380, stanbon:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
(x-4)2=x2-8x+16
x2-8x+16=0
x=4..

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
4; only solution

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If 4 is a solution, x-4 must be a factor.
Since a quadratic needs two solutions (x-4)^2 must be a factor.
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Equation:
f(x) = (x-4)^2
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Cheers,
Stan H.