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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:

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Step-by-step explanation:

the parabola (the u shaped graph or the graph that is on top) is expressed by the function x² + 6, as it is 6 units up from the origin (0,0)

the line is expressed by the function -x + 6, as its first reflected across the x axis from the origin (0,0) and is then shifted 6 units up

these functions on this graph represent a piecewise function

looking at x² + 6, we see that it has an open circle on (3, 15). this means that the x coordinate 3 is not included in the solution to the function, and any x values that would be included are less than 3. in an inequality, this is expressed as x < 3

looking at our answer choices, this matches answer A. but let me continue with the explanation in case you run into a question that doesnt have it that easy

when we look at -x + 6, we see that it has a closed circle on (3,4) (approx (3,4), not sure about y-coordinate but its still the same). a closed circle means that the x coordinate 3 is included in the solution, and any numbers <em>greater than 3</em> are included in the solution. as an inequality, this is expressed as x ≥ 3

again we look at our answer choices and see that A is the only choice that supports both of these functions, so A is our answer

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Answer:

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Step-by-step explanation:

let % be X

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