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What is the value of k if the roots of the equation x^2 + kx + 4 = 0 are -2 and
Practice Questions
Q1
What is the value of k if the roots of the equation x^2 + kx + 4 = 0 are -2 and -2?
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Questions & Step-by-Step Solutions
What is the value of k if the roots of the equation x^2 + kx + 4 = 0 are -2 and -2?
Steps
Concepts
Step 1: Identify the equation given, which is x^2 + kx + 4 = 0.
Step 2: Recognize that the roots of the equation are given as -2 and -2.
Step 3: Calculate the sum of the roots: -2 + -2 = -4.
Step 4: According to the formula for the sum of the roots in a quadratic equation, the sum is equal to -k. Therefore, -k = -4.
Step 5: Solve for k by multiplying both sides of the equation by -1: k = 4.
No concepts available.
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