The sum and product of the roots of a quadratic equation are (frac{4}{7}) and (frac{5}{7}) respectively. Find its equation.
-
A.
(7x^{2} – 4x – 5 = 0) -
B.
(7x^{2} – 4x + 5 = 0) -
C.
(7x^{2} + 4x – 5 = 0) -
D.
(7x^{2} + 4x + 5 = 0)
Correct Answer: Option B
Explanation
Let the roots of the equation be (alpha) and (beta).
(alpha + beta = frac{-b}{a} = frac{4}{7})
(alpha beta = frac{c}{a} = frac{5}{7})
(implies a = 7, b = -4, c = 5)
Equation: (ax^{2} + bx + c = 0 )
= (7x^{2} – 4x + 5 = 0)