방정식과 부등식 전체 문제

Perform the indicated operation with complex numbers.

$(6-5i)-(10+3i)$

Perform the indicated operation with complex numbers.

$(2-3i)(3+6i)$

Perform the indicated operation with complex numbers.

$\frac{2-i}{2+i}$

Solve the following equations over the complex number system.

${x}^{2}-4x+5=0$

Solve the following equations over the complex number system.

${x}^{2}+2x+10=0$

Answer the following questions.

A rectangular plot of land is to be enclosed by fencing. One side is along a river and so needs no fence. If the total fencing available is 600 meters, find the dimensions of the plot to have maximum area.

Answer the following questions.

An object projected from the ground at a 45 degree angle with initial velocity of 120 feet per second has height, $h,$ in terms of horizontal distance traveled, $x,$ given by $h(x)=\frac{-32}{{(120)}^{2}}{x}^{2}+x.$ Find the maximum height the object attains.

Solve the following application problem.

A rectangular field is to be enclosed by fencing. In addition to the enclosing fence, another fence is to divide the field into two parts, running parallel to two sides. If 1,200 feet of fencing is available, find the maximum area that can be enclosed.