Solve for k. k2+4k+4=0Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k= ____
Q. Solve for k. k2+4k+4=0Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k= ____
Identify Equation: Identify the quadratic equation to be solved.The given equation is k2+4k+4=0. We need to find the values of k that satisfy this equation.
Factor Equation: Factor the quadratic equation.We need to find two numbers that multiply to give the constant term 4 and add up to give the coefficient of the linear term 4. The numbers 2 and 2 satisfy these conditions because 2×2=4 and 2+2=4.So, we can write the equation as (k+2)(k+2)=0.
Set Equal Solve: Set each factor equal to zero and solve for k. Since (k+2)(k+2)=0, we have two identical factors. We only need to set one of them equal to zero and solve for k. k+2=0 Subtract 2 from both sides to solve for k. k=−2
Write Solution: Write the solution to the equation.Since both factors are the same, we only have one unique solution for k.The solution is k=−2.
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