SOLUTION: Write each quadratic equation that had the given roots 1. -3 and 5 2. 1/2 and -4 3. Radical 5 and -radical 5 4. 5+3radical2 and 5-3radical2 5. 6+2i and 6-2i

Algebra ->  Rational-functions -> SOLUTION: Write each quadratic equation that had the given roots 1. -3 and 5 2. 1/2 and -4 3. Radical 5 and -radical 5 4. 5+3radical2 and 5-3radical2 5. 6+2i and 6-2i      Log On


   



Question 925385: Write each quadratic equation that had the given roots
1. -3 and 5
2. 1/2 and -4
3. Radical 5 and -radical 5
4. 5+3radical2 and 5-3radical2
5. 6+2i and 6-2i

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write each quadratic equation that had the given roots
1. -3 and 5
y = (x+3)(x-5)
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2. 1/2 and -4
y = (2x-1)(x+4)
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3. Radical 5 and -radical 5
y = (x-sqrt(5))(x+sqrt(5)) = x^2 - 5
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4. 5+3radical2 and 5-3radical2
y = (x-5-3sqrt(2))(x-5+(3sqrt(2)) = ((x-5)^2-18) = x^2-10x+7
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5. 6+2i and 6-2i
y = ((x-6)-2i)((x-6)+2i) = (x-6)^2+4 = x^2-12x+40
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Cheers,
Stan H.
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