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Debora [2.8K]
3 years ago
13

Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33​

Mathematics
2 answers:
scoundrel [369]3 years ago
6 0

Answer:

Step-by-step explanation:

(x-4)^2=33

x^2-8x+16=33 subtract 33 from both sides

x^2-8x-17=0

Solve with quadratic formula

x=4±√33  or x=9.74456, x= -1.74456

Brrunno [24]3 years ago
5 0

\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}

To solve for x, we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}

\sqrt{33} cannot be simplified, so we'll leave it as-is.

Add 4 to both sides to fully isolate x.

x=\pm\sqrt{33}+4

Expand the solution by making two solutions, one where \sqrt{33} is positive and one where it's negative.

x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}

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The ratio of adults to children in a movie theater is 7:2. If there are 26 children in the theater, how many adults are there?
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A worker at a cabinet shop is cutting out pieces of wood for a dresser. He needs pieces that are 4 1/4inches long. Each saw cut
ella [17]

Answer: he will be able to make 19 full pieces

Step-by-step explanation:

1. Start off by making 7 feet into 84 inches so the measurements can match.

2. Add 4/14 inches and the 1/8 a inch together so you know how much is being taken off 84 inches. The amount will be 35/8 inches.

3. Divide 84 inches by 35/8 inches = 19 1/5

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8 0
2 years ago
-13 +(-4)-(2-10) +8.
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I believe the answer is -1
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3 years ago
Explain answer ! <br><br> Will give brainlst
Ne4ueva [31]

Answer:

x = 4, y = 2

Step-by-step explanation:

Start by multiplying the first equation by 2:

2x + 2y = 12 --> 4x + 4y = 24

Subtract the second from the first:

   4x + 4y = 24

-   5x + 4y = 28

4x - 5x = -x

4y = 4y = 0

24 - 28 = -4

so you end with -x + 0 = -4

Solve for x to get x = 4

Plug x = 4 back into 2x + 2y = 12 to find y.

2(4) + 2y = 12

8 + 2y = 12

2y = 4

y = 2

5 0
3 years ago
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