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stepan [7]
4 years ago
11

Solve for x in the equation 2x^2-5+1=3

Mathematics
1 answer:
icang [17]4 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

<u>Given</u>

2x^2-5+1=3

<u>Combine like terms</u>

-5 + 1 = -4

2x^2 - 4 = 4

<u>Add 4 to both sides</u>

2x^2 = 8

<u>Divide both sides by 2</u>

8/2 = 4

<u>Simplify</u>

x^2 = 4

<u>Square both sides</u>

\sqrt{x^2} = x

\sqrt{4}=2

<u>Simplify</u>

x = 2

<u>Answer</u>

x = 2

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4 years ago
Solve the equation: k^2+5k+13=0
mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

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a = 1 , b = 5 , c = 13

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k =  \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)}  \\  =  \frac{ - 5 \pm \sqrt{25 - 52} }{2}  \\  =  \frac{ - 5 \pm \sqrt{ - 27} }{2}  \:  \:  \:  \:  \:  \:  \\  =  \frac{ - 5  \pm3 \sqrt{3}  \: i}{2}  \:  \:  \:  \:  \:  \:

<u>Separate the solutions</u>

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The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

k_1 =  -  \frac{5}{2}  +  \frac{3 \sqrt{3} }{2}  \: i \:  \:  \:  \: or \\ k_2 =  -  \frac{5}{2}  -  \frac{3 \sqrt{3} }{2}  \: i

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