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Chapter 9: Q. 9.40 TI (page 884)

Solve by completing the square :

3y2-10y=-5

Short Answer

Expert verified

The required value ofyis5+103,5-103

Step by step solution

01

Given information

3y2-10y=-5

02

Calculation

3y2-10y=-5鈬�3y2-10y3=-53鈬�y2-103y=-53鈬�y2-103y+(12脳(-103))2=-53鈬�y2-103y+259=-53+259鈬�(y-53)2=109鈬�y-53=卤109鈬�y=53卤109=53卤103=5+103,5-103

The required value ofyis5+103,5-103

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Most popular questions from this chapter

In the following exercises, solve by using the Quadratic Formula.
19c2+23c=3

In the following exercises, solve by using the Quadratic Formula.
x2+8x-4=0

Solve by using the Quadratic Formula:3y2-5y+2=0

Determine the number and type of solutions to each quadratic equation.

a)8m2-3m+6=0b)5z2+6z-2=0c)9w2+24w+16=0

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

3y2+5y-2=0
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