Ask a New Question

The sum and product of roots of a quadratic equation are 4/7 and 8/7 respectively . Find the equation

1 answer

x^2 - (4/7)x + 8/7 = 0
7x^2 - 4x + 8 = 0
check:
x = (4±√208 i)/14 = (2±√52 i)/7
clearly the sum is 4/7, and
(2+√52 i)/7 * (2-√52 i)/7 = (2^2 + 52)/49 = 56/49 = 8/7

Ask a New Question or answer this question.

Similar Questions

F(x) = ax²+bx+cThe above function, f(x), has a quadratic equation, where a, b, and c are constants. If the sum of the roots is
1. 1 answer
Given the roots, 1/2 and 4, find:(A) The quadratic equation 2x^2-9x+4 ? (B) The sum of the roots 4 1/2, or 9/2 (C) The product
1. 2 answers
The roots of the quadratic equation x^2-mx+n=0 ,where m and n are integers ,are a and 1/4a.(i)Find the sum and product of its
1. 2 answers
The sum of the roots of aquadratic equation is 52 and the product of its roots is 4. The quadratic equation is____ A. 2x2 + 5x +
1. 13 answers

more similar questions