SOLUTION: Write a quadratic function whose roots are 2+√3 and 2-√3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c. Many thanks!

Question 1066835: Write a quadratic function whose roots are 2+√3 and 2-√3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c.
Many thanks!
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
Start with .

Simplify the equation, but keep a factored.

The given point lets you calculate "a".

substitute the given point.

Put altogether and simplify.

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SOLUTION: Write a quadratic function whose roots are 2+&#8730;3 and 2-&#8730;3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c. Many thanks!

SOLUTION: Write a quadratic function whose roots are 2+√3 and 2-√3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c. Many thanks!