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: $x^{2}$ + $\sqrt{3}$x + 0.5 = 0

Step-by-step explanation:

The formula for finding the quadratic equation with given roots

⇒$x^{2}$ - sum of roots(x) + product of roots = 0

Sum of roots =  $\frac{\sqrt{3}-1 }{2}$ + $\frac{\sqrt{3}+1 }{2}$

= 2$\sqrt{3}$

Product of roots⇒

$\frac{\sqrt{3}-1 }{2}$ X $\frac{\sqrt{3}+1 }{2}$

= 1/2 = 0.5

substituting into the formula , we have

$x^{2}$ +$\sqrt{3}$x + 0.5 = 0