document.write( "Question 472980: 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. Solution:2,only solution \n" ); document.write( "

Algebra.Com's Answer #324302 by jim_thompson5910(35256) $\"\"$ $\"About$

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Solved by pluggable solver: Find A Quadratic Equation Given The Solutions

$\"x=2\"$ or $\"x=2\"$ Start with the given solutions.

$\"x-2=0\"$ or $\"x-2=0\"$ Get everything to one side so that only 0 remains on the right side (for both equations).

$\"%28x-2%29%28x-2%29=0\"$ Use the zero product property to combine the equations.

$\"x%5E2-4x%2B4=0\"$ FOIL out the left side.

So the answer is $\"x%5E2-4x%2B4=0\"$

To check your work, simply solve $\"x%5E2-4x%2B4=0\"$ for x. Doing so will show you that the solutions are $\"x=2\"$ or $\"x=2\"$ , which confirm the answer.

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