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Chapter 10: Q 278. (page 1236)

In the following exercises, solve by using the Quadratic Formula.

5z(z鈭�2)=3

Short Answer

Expert verified

The solutions arez=5-2105andz=5+2105.

Step by step solution

01

Given information.

The given equation is:5z(z鈭�2)=3

02

Use the quadratic formula.

The quadratic formula for the equation ax2+bx+c=0isx=-b卤b2-4ac2a.

Now we compare the given equation with the standard form we get

a=5,b=-10andc=-3.

Now we substitute these values in the quadratic formula.

z=--10卤-102-45-325z=10卤100+6010z=10卤6010z=10卤41010z=5卤2105

The two solutions arez=5-2105andz=5+2105.

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