For the quadratic equation x^2 + mx + n = 0, if the roots are 2 and 3, what is t
Practice Questions
Q1
For the quadratic equation x^2 + mx + n = 0, if the roots are 2 and 3, what is the value of n?
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Questions & Step-by-Step Solutions
For the quadratic equation x^2 + mx + n = 0, if the roots are 2 and 3, what is the value of n?
Step 1: Identify the roots of the quadratic equation. In this case, the roots are given as 2 and 3.
Step 2: Recall that for a quadratic equation of the form x^2 + mx + n = 0, the product of the roots is equal to n.
Step 3: Calculate the product of the roots. Multiply the two roots together: 2 * 3.
Step 4: Perform the multiplication: 2 * 3 = 6.
Step 5: Conclude that the value of n is 6.
Quadratic Equations – Understanding the relationship between the coefficients and the roots of a quadratic equation, specifically using Vieta's formulas.
Roots of Quadratic Equations – Knowing that for a quadratic equation ax^2 + bx + c = 0, the sum and product of the roots can be derived from the coefficients.
