Question

Form a quadratic equation whose one root is 5 and
product of the roots is -2 √5.​

Answer 1

The first root = 5

Product of the roots = -2√5

Therefore, the second root = -2√5 / 5

Therefore, the quadratic equation:

(x - 5)(x + 2√5 / 5) = 0

or, (x - 5)( (5x + 2√5) / 5) = 0

or, (x - 5)(5x + 2√5) / 5 = 0

or, (x - 5)(5x + 2√5) = 0

or, 5x² + 2√5x - 25x - 10√5 = 0

or, 5x² + √5x(2 - 5√5) - 10√5 = 0

or, √5x² + x(2 - 5√5) - 10 = 0