x(27-x)=182 middle tarm
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1
Step-by-step explanation:
GivenQuadraticEquation:
x
2
−27x+182=0
/* Splitting the middle term, we get */
\implies x^{2} - 13x - 14x + 182 = 0⟹x
2
−13x−14x+182=0
\implies x(x - 13) - 14(x - 13) = 0⟹x(x−13)−14(x−13)=0
\implies (x - 13)(x - 14) = 0⟹(x−13)(x−14)=0
\implies (x - 13) = 0 \:Or \: (x - 14) = 0⟹(x−13)=0Or(x−14)=0
\implies x = 13 \:Or \: x = 14⟹x=13Orx=14
Therefore.,
\green { x = 13 \:Or \: x = 14 }x=13Orx=14
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Answer:
2.5
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