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Xsquare2 - 5x + k plss help me

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[tex]x^2 - 5x + k[/tex]
a = 1; b = -5 ; c = k?
k = (b/2)^2
   = (-5/2)^2
k = 25/4 or
   = [tex]6 \frac{1}{4}[/tex]
x²-5x+k
x=⁻b+(b₋4ac)
----------------
    2(a)
x=5+√(5²-4(1)(1)
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      2(1)
x=5+√25-4
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      2
x=5+√21
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       2
x=5+11
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     2
x=5+11
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     2
x=15
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   2
x₁=7.5
x=5-11
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    2
x=⁻6
--------
    2
x₂=⁻3
x₁=7.5 and x₂=⁻3

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