Find the value of k for the equation 2k2 + 144 = 0

Complex numbers are those with the formula a + ib, where a and b are real numbers and I (iota) is the imaginary component and represents (-1), and are often represented in rectangle or standard form. 10 + 5i, for example, is a complex number in which 10 represents the real component and 5i represents the imaginary part. Depending on the values of a and b, they might be wholly real or purely fictitious. When a = 0 in a + ib, ib is a totally imaginary number, and when b = 0, we get a, which is a strictly real number.

Some Powers of i

• i = 
• i² = −1
• i³ = i × i² = i × −1 = −i
• i⁴ = i² × i² = −1 × −1 = 1

Find the value of k for the equation 2k² + 144 = 0.

Solution:

2k² + 144 = 0

⇒ 2k² = −144

⇒ k² = −72

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 6√2i

Similar Problems

Question 1. Find k if 2k² + 64 = 0.

Solution:

2k² + 64 = 0

⇒ 2k² = −64

⇒ k² = −32

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 4√2i

Question 2. Find k if 2k² + 36 = 0.

Solution:

2k² + 36 = 0

⇒ 2k² = −36

⇒ k² = −18

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 3√2i

Question 3. Find k if 2k² + 400 = 0.

Solution:

2k² + 400 = 0

⇒ 2k² = −400

⇒ k² = −200

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 10√2i

Question 4. Find k if 2k² + 100 = 0.

Solution:

2k² + 100 = 0

⇒ 2k² = −100

⇒ k² = −50

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 5√2i

Question 5. Find k if 2k² + 256 = 0.

Solution:

2k2 + 256 = 0

⇒ 2k2 = −256

⇒ k² = −128

⇒ k = 

⇒ k = 

⇒ k = 

⇒ k = 8√2i