3 years ago

Which of the following expressions is equivalent to a(4-a)-5(a+7)

Mathematics

2 answers:

MissTica3 years ago

5 0

Answer:

-a² - a - 35

Step-by-step explanation:

a(4 - a) - 5(a + 7)

(4a - a²) - (5a + 35)

4a - a² - 5a - 35

-a² - a - 35

Licemer1 [7]3 years ago

4 0

Answer:

dude give answer choices

Step-by-step explanation:

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$\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Explanation:</h2>

Using the quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$