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Chapter 10: Q 10.66 (page 1189)

Solve the equation using quadratic formula.

y(3y-1)-2=0

Short Answer

Expert verified

The roots arey=-23,y=1.

Step by step solution

01

 Given Information.     

The given equation is y(3y-1)-2=0.

02

Write the quadratic equation in standard form and identify a,b,c.

y(3y-1)-2=0

Use distributive property.

3y2-y-2=0

Here,

a=3,b=-1,c=-2

03

Substitute the values in quadratic formula.   

y=-(-1)卤(-1)2-4(3)(-2)2(3)y=1卤1+246y=1卤256

04

Use square root property. 

y=1卤56

Rewrite to show two solutions.

y1=1+56y1=66y1=1

and

y2=1-56y2=-46y2=-23

Thus, the roots arey=-23,1.

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