SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standered form, ax^2+bx+c=0 solution: 8, only solution

Question 249036: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standered form, ax^2+bx+c=0 solution: 8, only solution
Answer by actuary(112) (Show Source): You can put this solution on YOUR website!

This problem is basically the inverse of being asked to factor a quadratic equation.
The solution (roots) of the equation are 8 and 8. Ues, 8 is a repeating root since the goal is to produce an equation in standard form of degree 2. An equation of degree 2 has 2 solutions therefore 8 is a repeating solution. If "a" is a solution (root) of an equation then "(x-a)" is a factor. So, in this case, the equation that you are being asked to produce has factors "(x-8)" and "(x-8)". Multiply the the factors using the "FOIL" method.
Therefore, the equation that you are being asked to produce is
(x-8)(x-8)= x^2-16x+64=0.

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