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Chapter 10: Q 266 (page 1236)

Solve the equation by completing square method. 4d2-2d=8

Short Answer

Expert verified

The required result is d=-33+14,33+14

Step by step solution

01

Given Information.  

The Given equation is4d2-2d=8

02

To complete the square, we need the coefficient of d2 to be one.Divide both side by 4

d2-12d=2

03

Find coefficient of d

The coefficient of dis -12

So ,b=-12

04

Find 12b2and add to the both sides of equation.

=12-122=-142=116

Add 116both side of equation

d2-12d+116=2+116d2-12d+116=3316

05

Factor the perfect square trinomial as a binomial square  

d-142=3316

Use square root property

d-14=卤3316d=卤334+14d=33+14,-33+14

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