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Ugo [173]
2 years ago
9

PLEASE HELP!! How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

Answer: No~Solutions

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : -4x-11=2(x-3x)+13

Equations that are never true:

1.1     ~~~~ Solve :    -24   =  0

This equation has no solution.

A non-zero constant never equals zero.

<u><em>Therefore your answer is </em></u>No~Solution

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Find the missing value when given the modulus.
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Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We  have been given the expression as

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Which is an expression of complex number. The general expression of complex number is given as

    z = x + iy

 where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

  |z| = |x + iy|

   |z| = √[(real part)2 + (imaginary part)2]

 |z| = √(x2 + y2)

According to the question, |z| = √37         (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

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