Question

Construct a quadratic equations, if its roots are -
2+√5/2, 2-√5/2​

Answer 1

Answer:

Step-by-step explanation:

sum of roots:

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

  =4

product of roots:

 =(2+$\frac{\sqrt{5}}{2}$)(2-$\frac{\sqrt{5}}{2}$)

= $2^{2}$+$(\frac{\sqrt{5}}{2})^2$

=4+$\frac{5}{4}$

=$\frac{21}{4}$

so a=4, b=-16, c=21

equation  is $4x^2-16x+21$

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