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BlackZzzverrR [31]
2 years ago
7

Which of the following is a solution of x2 + 2x = −2?

Mathematics
2 answers:
Kisachek [45]2 years ago
5 0

Answer:

0.586 or -3.414

Step-by-step explanation:

X² + 2X = -2

we make the equation 0

  • X² + 2X + 2 = 0  

The quickest way to solve a quadratic equation , is to use the almighty formular

which is

  • -b±√(b²- 4ac)/2a

where the coefficient of the first term starting from the Left Hand Side (LHS) is outlined as such

aX² + bX - C = 0

using our question,

X² + 2X + 2 = 0

a = 1 (coefficient of X² = 1)

b = 2 (coefficient of X = 2)

c = 2.

  • let's impute these values into our equation

x= -(2)±√(2² - 4(1×2))/2(1) =

x =-2±√(4-8)/2=

x = -2±√-4/2 = -2±√-2

i.e the root of our equation could be

x =-2+√2 or x = -2-√2

√2 = 1.414

∴ x = -2 + 1.414 = 0.586 or

  x = -2 - 1.414 = -3.414

Fudgin [204]2 years ago
4 0
Solve by completing the square
use formula (b/2 to the power of 2) in order to create a ner term. Solve for x by using this term to complete the square. 
x + -1 + i
          -
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Twice a number plus twice a second number is 310. The difference between the numbers is 55
agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

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Now, subtract your new equation from the first one [2x + 2y = 310]

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//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

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<u>So, x = 105 and y = 50</u>

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