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Chapter 10: Q 248 (page 1236)

Solve the equation by completing square method.d2+14d=-13

Short Answer

Expert verified

The solutions ared=-1,-13

Step by step solution

01

Given Information.   

The Given equation isd2+14d=-13

02

Isolate the variable terms on one side and the constant terms on the other.The variable terms are on the left side.

d2+14d=-13

The coefficient ofdis14

So ,b=14

03

Find 12b2and add to the both sides of equation.

=12142=72=49

Add 49both side of equation

d2+14d+49=-13+49d2+14d+49=36

04

Factor the perfect square trinomial as a binomial square 

d+72=36

Use square root property

d+7=卤36d+7=卤6d=卤6-7d=-1,-13

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Most popular questions from this chapter

Solve12x2+4=24

The distance between opposite corners of a rectangular field is four more than the width of the field .The length of the field is twice its width . Find the distance between the opposite corners. Round to the nearest tenth.

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

a2-20a

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

m2-5m

Solve the quadratic equation using square root property.

r2-24=0
See all solutions

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