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Chapter 9: Q. 9.50 (page 893)

Solve by using the Quadratic Formula:3y(y-2)-3=0

Short Answer

Expert verified

The solution of the above equation isy=1

Step by step solution

01

Given information

We are given a quadratic equation3y(y-2)-3=0

02

Distribute and write the equation in standard form

On distributing we get

3y2-6y-3=0

03

Identify the values of a,b,cand write the quadratic formula

On comparing with standard equation we get a=3,y=-6,c=-3

The quadratic formula can be given as

y=-b卤b2-4ac2a

04

Substitute the values in the quadratic formula and simplify

On substituting we get

y=6卤36-4(3)(-3)2(3)y=6卤36+366y=6卤726y=6卤626

05

Find the common factor and remove it

Now we take out the common factor we get

y=6(1卤2)6y=1卤2

06

Conclusion

The solution of the quadratic equation isy=1卤2

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