find the equation whose roots are 5 + root 2 and 5 minus root 2
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Sum of roots = 5 + root 2 + 5 - root2
= 10
Product of roots = (5+root2)(5 - root2)
= 5^2 - (root2) ^2
= 25 - 2
= 23
Required equation = x^2 - (sum of roots) x + Product of roots
=> x^2 - 10x + 23 = 0
This is the required equation....
Hope it helps.... ☺
= 10
Product of roots = (5+root2)(5 - root2)
= 5^2 - (root2) ^2
= 25 - 2
= 23
Required equation = x^2 - (sum of roots) x + Product of roots
=> x^2 - 10x + 23 = 0
This is the required equation....
Hope it helps.... ☺
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