Question
Find a quadratic polynomial with the given number as the sum and the product of its zeroes respectively
√2 , 1/3
Find a quadratic polynomial with the given number as the sum and the product of its zeroes respectively
√2 , 1/3
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Solution
A quadratic equation is given by
x²-(sum of roots)x+(product of roots) = 0
here given,
Sum of roots = √2
Product of roots = 1/3
So equation become
x²-√2x+(1/3) = 0
Multiply with 3 to remove denominator
3x²-3√2x+1 = 0 , the required equation
x²-(sum of roots)x+(product of roots) = 0
here given,
Sum of roots = √2
Product of roots = 1/3
So equation become
x²-√2x+(1/3) = 0
Multiply with 3 to remove denominator
3x²-3√2x+1 = 0 , the required equation
Suggest Corrections
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