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

a) 1
b) 5
c) - 1/2
d) √3

The equation is:

(A)

(B)

(C)

d) √3

Step-by-step explanation:

If the roots of the quadratic equation are:

This means:

x= OR

x-=0 or x-

If a=0 or b=0, then ab=0

Therefore:

Therefore the coefficient of  here is 1.

b) To make 5 the coefficient of

Simply multiply by 5

This gives:

c)

To make the coefficient of

Simply multiply by

This gives:

d) √3

To make   the coefficient of

Simply multiply by

This gives:

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step-by-step explanation:

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