Question

hey..guys !!
find a quadratic polynomial whose sum of zeroes and product of zeroes are respectively.
√3, ⁻√3

Answer 1

Hiii friend,

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...... :-)

Answer 2

standard quadratic equation is
$a {x}^{2} + bx + c$
so if x1 and x2 are the roots of equation.
then x1+x2=-b/a
=
$\sqrt{3}$
and
$x1 \times x2 = \sqrt{3}$
so modified quadratic equation. is
${x}^{2} + ( - \frac{b}{a} )x + ( \frac{c}{a} )$

${x}^{2} - \sqrt{3} x + \sqrt{3}$