csat-suneung 2022 Q8

csat-suneung · South-Korea · csat__math 3 marks Areas by integration

When the line $x = k$ bisects the area enclosed by the curve $y = x ^ { 2 } - 5 x$ and the line $y = x$, what is the value of the constant $k$? [3 points]
(1) 3
(2) $\frac { 13 } { 4 }$
(3) $\frac { 7 } { 2 }$
(4) $\frac { 15 } { 4 }$
(5) 4

When the line $x = k$ bisects the area enclosed by the curve $y = x ^ { 2 } - 5 x$ and the line $y = x$, what is the value of the constant $k$? [3 points]\\
(1) 3\\
(2) $\frac { 13 } { 4 }$\\
(3) $\frac { 7 } { 2 }$\\
(4) $\frac { 15 } { 4 }$\\
(5) 4

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