Question

If one root of ax^(2)+bx+c=0, where a,b,c are integers be 3+sqrt(5), then the other root is [ (a) 3-sqrt(5), (b) 3, (c) sqrt(5), (d) None

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If one root of ax² + bx + c = 0, where a,b,c are integers be 3 + √5 , then the other root is

(a) 3 - √5

(b) 3

(c) √5

(d) None

EVALUATION

Here the given equation is

ax² + bx + c = 0, where a,b,c are integers

So this is a quadratic equation

So this equation has exactly two roots

We know that in a quadratic equation irrational roots occur in pair

More precisely if a + √b is root then another root is a - √b

Now it is given that one root is 3 + √5

So another root is 3 - √5

FINAL ANSWER

Hence the correct option is (a) 3 - √5

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