Question

Write the quadratic equation that has roots (√3+1)/2 and (√3 -1 )/2, if its coefficient with x^2 is equal to:

Answer 1

Answer:

Option a

Step-by-step explanation:

Given that ,

the roots are $\frac{\sqrt{3}+1 }{2}$ and $\frac{\sqrt{3}-1 }{2}$.

We know that quadratic equation with roots a,b is given by

$x^{2} -(a+b)x+a.b=0$

a=$\frac{\sqrt{3}+1 }{2}$

b=$\frac{\sqrt{3}-1 }{2}$

substituting we get,

$x^{2}-\sqrt{3}x+1 =0$

Hence we see that coefficient of $x^{2}$ is 1.

Option (a)