Question

one root of a quadratic equation is 1+√5/2 then product of roots will be :
a. -1
b. √5/4
c.3+√5/4
d. 1
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Answer 1

Answer:

$\huge \sf {\orange {\underline {\red{\underline {❥αղsաҽɾ࿐ }}}}}$

$\frac{1}{2 + \sqrt{5} } =$

$\frac{2 - \sqrt{5} }{ - 1}$

$= - 2 \sqrt{5}$

Therefore, other root is -2 - √5

Again, sum of roots = − 4

and product of roots = − 1.

Hence, the required equation is x2 + 4x - 1 = 0.

Hope this helps :)