What are the roots of the quadratic equation \(x^2 + bx + c = 0\) if the roots are distinct and at equal distance from

[VJesus12]

What are the roots of the quadratic equation \(x^2 + bx + c = 0\) if the roots are distinct and at equal distance from \(5\) on the number line?

(1) The product of the roots of the equation \(x^2 + bx + c = 0\) is \(21.\)

(2) \(x - 7\) is a factor of the expression \(x^2 + bx + c.\)

Answer: D

Source: e-GMAT