hey..guys !!
find a quadratic polynomial whose sum of zeroes and product of zeroes are respectively.
√3, ⁻√3
find a quadratic polynomial whose sum of zeroes and product of zeroes are respectively.
√3, ⁻√3
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Let Alpha and beta are the zeroes of the Quadratic polynomial.
Sum of zeroes = (Alpha+Beta) = ✓3
And,
Product of zeroes = (Alpha × Beta) = -✓3
Therefore,
Required Quadratic polynomial=> X²-(Sum of zeroes)X + Product of zeroes
=> X²-(✓3)X+(-✓3)
=> X²-✓3X-✓3
HOPE IT WILL HELP YOU...... :-)
so if x1 and x2 are the roots of equation.
then x1+x2=-b/a
=
and
so modified quadratic equation. is