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3 years ago

Solve by taking the square root of both sides. 3(x+4)^2-24=0

2 answers:

6 0

3(x+4)^2-24=0

3(x+4)^2 = 24

(x+4)^2 = 24/3

(x+4)^2 = 8

(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4

Anna71 [15]3 years ago

6 0

$3(x+4)^2-24=0 \\
3(x+4)^2=24\\
(x+4)^2=8\\
x+4=\sqrt8 \vee x+4=-\sqrt8\\
x=-4+\sqrt8 \vee x=-4-\sqrt8\\
x=-4+2\sqrt2 \vee x=-4-2\sqrt2$

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3 years ago

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3 years ago

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Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is πr² , where r is the length of its radius

- The length of the diameter of any circle is twice the length of

its radius (diameter = 2 radius)

* Lets solve the problem

- Alex is making a pizza

- The round pizza pan has a 16 inch diameter

- To find the area of the pizza crust is needed to fill the entire pan,

calculate the area of the pan

∵ The diameter of the pan is 16 inches

∵ The radius of the pan = 1/2 diameter

∴ The radius of the pan = 1/2 (16) = 8 inches

∵ The area of the pan = πr²

∵ π = 3.14 and r = 8 inches

∴ The area pf the pan = 3.14 (8)² = 200.96 inches²

∵ The area of the pizza pan = the area of the pizza crust

∴ The area of the pizza crust is 200.96 inches²

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