117k views
21 votes
Find the disciminant of the quadratic equation:

4k^2+8k+4=0

User Florin Pop
by
8.1k points

2 Answers

7 votes

here

  • a=4
  • b=8
  • c=4

Discriminant

  • D=b²-4ac
  • D=8²-4(4)(4)
  • D=64-4³
  • D=64-64
  • D=0
User Brian Parker
by
8.7k points
6 votes

Answer:

0 (zero)

Explanation:

Discriminant


b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0

Given equation:
4k^2+8k+4=0

Therefore:

  • a = 4
  • b = 8
  • c = 4

Substitute these values into the discriminant and solve:


\begin{aligned}\implies b^2-4ac & = 8^2-4(4)(4)\\& = 64 - 4(16)\\& = 64 - 64\\& = 0\end{aligned}

Therefore, the discriminant of the given quadratic equation is zero.

This implies that the graph of the equation has one real root.

User Krzysztof Hamerski
by
8.1k points

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