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Chapter 9: Q. 9.35 TI (page 881)

Solve by completing the square :

2m2+16m+14=0

Short Answer

Expert verified

The required value ofmis-1,-7

Step by step solution

01

Given information

2m2+16m+14=0

02

Calculation

2m2+16m+14=0鈬�2(m2+8m+7)=0鈬�2(m2+8m+7)2=02鈬�m2+8m+7=0鈬�m2+8m=-7鈬�m2+8m+(12脳8)2=-7鈬�m2+8m+16=-7+16鈬�(m+4)2=9鈬�m+4=卤9鈬�m+4=卤3鈬�m=-4卤3=-4+3,-4-3=-1,-7

The required value ofmis-1,-7

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Most popular questions from this chapter

In the following exercises, solve by using the Quadratic Formula.
y2+4y-4=0

In the following exercises, solve by using the Quadratic Formula.
(y+4)(y-7)=18

The product of two consecutive odd integers is 99. Find the integers.

A firework rocket is shot upward at a rate of 640 ft/sec. Use the projectile formula h=-16t2+votto determine when the height of the firework rocket will be 1200 feet.

Identify the most appropriate method to use to solve each quadratic equation.

a)8a2+3a-9=0b)4b2+4b+1=0c)5c2=125
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