Question

Find a quadratic equation whose roots are 2+√5/2 and 2-√5/2.

Answer 1

for quadratic equation

use formula

x^2. - (sum of zeroes)x +. (product of zeroes)

then x^2 -( 2+✓5/2+2-✓5/2. ) x +(. 2+✓5/2)(2-✓5/2)


x^2 -4x +(. 4 - 5/2 )

x^2 -4x +. (8-5/2)

x^2-4x+3/2. = 0

2x^2-8x+3. = 0. (taking l.c.m.)
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2
now quadratic equation is

2x^2 - 8x + 3. Ans.

hope it will help you.

Answer 2

hopes it will helps you