If the quadratic equation x² + 5x + k = 0 has roots -2 and -3, find k. (2020)
Practice Questions
1 question
Q1
If the quadratic equation x² + 5x + k = 0 has roots -2 and -3, find k. (2020)
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The product of the roots gives k = (-2)(-3) = 6.
Questions & Step-by-step Solutions
1 item
Q
Q: If the quadratic equation x² + 5x + k = 0 has roots -2 and -3, find k. (2020)
Solution: The product of the roots gives k = (-2)(-3) = 6.
Steps: 6
Step 1: Understand that the roots of the quadratic equation are the values of x that make the equation equal to zero.
Step 2: Identify the given roots, which are -2 and -3.
Step 3: Use the property of quadratic equations that states the product of the roots (r1 and r2) is equal to k when the equation is in the form x² + bx + k = 0.
Step 4: Calculate the product of the roots: (-2) * (-3).
Step 5: Perform the multiplication: (-2) * (-3) = 6.
