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4k*4k=5k
We move all terms to the left:
4k*4k-(5k)=0
We add all the numbers together, and all the variables
-5k+4k*4k=0
Wy multiply elements
16k^2-5k=0
a = 16; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·16·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*16}=\frac{0}{32} =0 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*16}=\frac{10}{32} =5/16 $
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