4k^2-17k+4=0

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Solution for 4k^2-17k+4=0 equation:


Simplifying
4k2 + -17k + 4 = 0

Reorder the terms:
4 + -17k + 4k2 = 0

Solving
4 + -17k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -4k)(4 + -1k) = 0

Subproblem 1

Set the factor '(1 + -4k)' equal to zero and attempt to solve: Simplifying 1 + -4k = 0 Solving 1 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Divide each side by '-4'. k = 0.25 Simplifying k = 0.25

Subproblem 2

Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4

Solution

k = {0.25, 4}

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