Question

construct the quadratic equation whose roots are √3 and 3√3 is​

Answer 1

Let m and n be the roots of the required equation

Thus,

m=√3 and n=3√3

Now,

Sum of Roots

m+n =√3+3√3 =4√3

Product of Roots

mn = (√3)(3√3) = 9

Now,

Required Equation:

x² -(m+n)x + mn=0

→x²-4√3x+9=0

Thus,x²-4√3x+9=0 is the required quadratic equation

Answer 2

Answer:-

• Let a and b be the roots of the required equation

a=√3 then b=3√3

a + b =√3+3√3 =4√3

ab = (√3)(3√3) = 9

x² - [[a + b ]] x (+ ab=0)

→x² -4 √3x + 9 = 0

Hence,x²-4√3x+9=0 is the answer!!!