Write a quadratic equation having the given numbers as solut

Write a quadratic equation having the given numbers as solutions. squareroot of21, - squareroot of21 The equation is x^2 - = 0.

Solution

The quadratic equation x² - a² = 0 has the solutions x = a² i.e. x = ± a. Here, a = 21 or, - 21. Therefore, the required equation is x² - ( ± 21)² or, x² - 21 = 0.

Alternatively, x = a and x = -a are the roots of the equation ( x -a)[ x - ( -a)] = 0 or, ( x -a)( x + a) = 0 or, x² - a² = 0 . Here a = ± 21, so the required equation is x² - ( ± 21² = 0 or, x² - 21 = 0