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

Question 1066845: Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write a quadratic function whose roots are 2+radical of 3 and 2- radical of 3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c.
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y = a(x-(2+sqrt(3))(x-(2-sqrt(3)))
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y = a((x-2)-sqrt(3))((x-2)+sqrt(3))
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y = a[(x-2)^2-3]
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Use the point (1,4) to determine "a"::
4 = a[(1-2)^2-3]
4 = a[-2]
a = -2
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Ans: y = -2[x^2-4x+1]
y = -2x^2 + 8x - 2
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Cheers,
Stan H.
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