Question

If one root of quadratic equation is given find another root

Answer 1

Explanation:

If the given root is complex, then it’s conjugate will be the other root. So, if a+ib is a root, then a−ib is also a root.

If the given root is a surd of the form a+√b, then a−√b is also a root.

If the root given is rational, then we can use the product of the roots rule.

The product of the roots of the quadratic equation ax²+bx+c=0 is c/a.

So, in this case, we can find the other root by dividing this product by the given root.

If the co-efficient of x² is ‘1’ (i.e.a=1), then this becomes much easier. You just need to divide the constant term of the quadratic by the known root.

Example: If one root of the quadratic equation x²−14x+45=0 is given as 5, then the other root is 45/5 = 9

Hope It Helps✌