find the sum & product of roots[tex]2 x + 7 \times + 4 = 0[/tex]
Answer (1)
Answer:2x² + 7x + 4 = 0.Step-by-step explanation:Understanding the RelationshipsFor a quadratic equation in the standard form ax² + bx + c = 0, there are some useful relationships between the coefficients and the roots:Sum of Roots: -b/aProduct of Roots: c/aApplying to Our EquationIdentify Coefficients: In our equation, a = 2, b = 7, and c = 4.Sum of Roots: -b/a = -7/2Product of Roots: c/a = 4/2 = 2Therefore:The sum of the roots of the equation 2x² + 7x + 4 = 0 is -7/2.The product of the roots of the equation is 2.
