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Chapter 10: Q 114 (page 1195)

Solve the equation using quadratic formula.

3w(w-2)-8=0

Short Answer

Expert verified

The roots arew=1卤333.

Step by step solution

01

 Given Information.   

The given equation is3w(w-2)-8=0.

02

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

Use distributive property to expand.

3w(w-2)-8=03w2-6w-8=0

Here,

a=3,b=-6,c=-8

03

Substitute the values in quadratic formula.

w=-b卤b2-4ac2aw=-(-6)卤(-6)2-4(3)(-8)2(3)w=6卤36+966w=6卤1326

Use square root property.

w=6卤2336

Rewrite to show two solutions.

w=1+333,w=1-333.

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