Answered

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For the function f(x) = x2 + 2x - 15 solve the following.f(x) = 0Select the correct choice below and fill in the answer box within your choice.O A. The solution is { }(Use a comma to separate answers as needed.)B. The solution is(Type your answer in interval notation.)

For The Function Fx X2 2x 15 Solve The Followingfx 0Select The Correct Choice Below And Fill In The Answer Box Within Your ChoiceO A The Solution Is Use A Comma class=

Sagot :

Answer: A. The solution is {-5,3}

Given:

[tex]\begin{gathered} f(x)=x^2+2x-15 \\ f(x)=0 \end{gathered}[/tex]

Let us solve for x when f(x)=0

[tex]\begin{gathered} f(x)=x^2+2x-15 \\ 0=x^2+2x-15 \end{gathered}[/tex]

Factor the quadratic equation:

[tex]\begin{gathered} 0=x^2+2x-15 \\ 0=(x+5)(x-3) \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 0=(x+5)(x-3) \\ ------------ \\ x+5=0 \\ x=-5 \\ ------------ \\ x-3=0 \\ x=3 \end{gathered}[/tex]

Therefore, the solution is {-5,3}

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