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Chapter 6: Q. 302 (page 627)

In the following exercises, solve:

3y2-18y=-27

Short Answer

Expert verified

On solving the equation, we get y=3.

Step by step solution

01

Step 1. Given information.

Consider the given equation,

3y2-18y=-27

Write the quadratic equation in standard form,

3y2-18y+27=0

02

Step 2. Factor the quadratic expression.

On factoring, we get,

3y2-9y-9y+27=03yy-3-9y-3=0y-33y-9=03y-3y-3=0y-32=0

Use the zero product property,

y-3=0y=3

03

Step 3. Check the answers.

Substitute y=3in the given equation,

332-183=-2727-54=-27-27=-27

This is true.

Hence, the answer isy=3.

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