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mina [271]
2 years ago
12

Solve the quadratic equation by completing the square. x^2+2x-2=0

Mathematics
1 answer:
astraxan [27]2 years ago
5 0

The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}

We have a quadratic equation:

x² + 2x - 2 = 0

x² + 2x + 1 - 1 - 2 = 0

(x + 1)² - 3 = 0

(x + 1)² = 3

x + 1 = ± √3

x = -1 ± √3

Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3

Learn more about quadratic equations here:

brainly.com/question/2263981


#SPJ1

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Answer:

<em>AB = 3π</em>

Step-by-step explanation:

<em>See attachment for correct format of question.</em>

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

Length = \frac{\theta}{360} * 2\pi r

<em>Substitute 20 for θ and 27 for r</em>

Length = \frac{20}{360} * 2\pi *27

Length = \frac{20 * 2\pi * 27}{360}

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Hence, the length of arc AB is terms of π is 3π

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Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

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Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

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Step 2

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