Question

two roots of qudratic equation are given frame the equation 1-3 under root 5 and 1+3 under root 5.

Answer 1

Hi ,

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Form of a quadratic equation whose

roots are m , n is

x² - ( m + n )x + mn = 0

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Here ,

m = 1 - 3√5 , and n = 1 + 3√5 are two roots

of quadratic equation

sum of the roots = 1-3√5+1 +3√5

m + n = 2 ---( 1 )

product of the roots =(1-3√5 )(1+3√5)

mn = 1² - ( 3√5 )²

mn = 1 - 45

mn = -44----( 2 )

Therefore ,

Required equation ,

x² - 2x - 44 = 0

I hope this helps you.

: )