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Burka [1]
3 years ago
11

Find the zeros of the following equation by completing the square. x^2+8x-2=0

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

x = -4 + 3√2 and x = -4 - 3√2

Step-by-step explanation:

Complete the square of x^2+8x-2=0:

Between 8x and -2, write in 4^2 - 4^2, so that we now have:

x^2 + 8x + 16 - 16 - 2 = 0, or by writing x^2 + 8x + 16 as the square of a binomial, (x + 4)^2 = 18

Taking the square root of both sides, we get:

x + 4 = √18 = ±√9√2, or ±3√2

Then x = -4 + 3√2 and x = -4 - 3√2

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Suppose tht four times the square of a numbr equals 20 times that number wht is the number​
GuDViN [60]

HOPE THIS HELP')

The number is 5.

Step-by-step explanation:

Finding the Number

To find the number, we have to form the algebraic equation first by translating the given mathematical problem above to algebraic expression. The algebraic equation is a statement that shows the equality of two algebraic expressions.

Equation:

Let "x" be the number.

"four times the square of a number" = 4x²

"20 times that number" = 20x

"four times the square of a number equals 20 times that number"

4x² = 20x

Solution:

4x² = 20x

4x²/4x = 20x/4x

x = 5

Final Answer:

The number is 5.

Checking:

To check, substitute the number.

4x² = 20x

4(5²) = 20(5)

4(25) = 100

100 = 100 ✔

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3 years ago
An engineer is building a model of a vehicle, using a 43 : 2 scale.The actual dimensions of the vehicle are given in the table.
gayaneshka [121]

The correct answer is (E) 8.9  

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3 0
3 years ago
Can someone please help me! I'll give brainliest to who ever answers first with a positive answer
Effectus [21]

1. 3(p+q)=p

3p+3q=p; 3p-p=3q; 2p=q so p=q/2


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3 years ago
Simplify (4x^3+13x-7) -(6x^2+9x+2)
svetoff [14.1K]
(4x^{3}+13x-7)-(6x^{2}+9x+2)\\\\=4x^{3}+13x-7-6x^{2}-9x-2\\\\=4x^{3}-6x^{2}+(13-9)x+(-7-2)\\\\=4x^{3}-6x^{2}+4x-9
8 0
3 years ago
Our new training room can seat 150 employees. If 6 tables consisting of 6 chairs are now taken, what percentage of our new facil
Anvisha [2.4K]

Step 1

Find out how many chairs are already taken. Multiply the tables by the chairs

6*6=36

Step 2

By using proportion find the percentage

\frac{150}{100} =\frac{36}{x}  \\ \\ 150*x=36*100\\\\ x= \frac{3600}{150} \\ \\ x=24

therefore

the answer is

24%

3 0
3 years ago
Read 2 more answers
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