For the quadratic equation x^2 + px + q = 0, if the roots are -2 and -3, what is
Practice Questions
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For the quadratic equation x^2 + px + q = 0, if the roots are -2 and -3, what is the value of p? (2020)
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Questions & Step-by-Step Solutions
For the quadratic equation x^2 + px + q = 0, if the roots are -2 and -3, what is the value of p? (2020)
Step 1: Identify the roots of the quadratic equation. The roots given are -2 and -3.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -p (where p is the coefficient of x).
Step 3: Calculate the sum of the roots: -2 + -3 = -5.
Step 4: Since the sum of the roots is equal to -p, we have -p = -5.
Step 5: To find p, multiply both sides by -1: p = 5.
Quadratic Equations – Understanding the relationship between the coefficients and the roots of a quadratic equation, specifically using Vieta's formulas.
Sum of Roots – The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a.
