1 year ago

3. Which of the following equations is equivalent to the equation shown below? x^2 + 4x + 15 = 0

Mathematics

1 answer:

stiv31 [10]1 year ago

5 0

We need to expand the answer choices and see which one matches the equation

$x^2+4x+15=0$

Remember the algebraic rules:

$(a\pm b)^2=a^2\pm2ab+b^2$

Now, if we expand choice D, we should get this. Let's expand:

$\begin{gathered} (x+2)^2=-11 \\ x^2+2(1)(2)+(2)^2=-11 \\ x^2+4x+4=-11 \\ x^2+4x+4+11=0 \\ x^2+4x+15=0 \end{gathered}$

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