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Chapter 10: Q 256 (page 1236)

Solve the equation by completing square method. n2-6n+11=34

Short Answer

Expert verified

The solutions aren=-42+3,42+3

Step by step solution

01

Given Information.  

The Given equation is n2-6n+11=34

02

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

n2-6n=23

The coefficient of nis -6

So ,b=-6

03

Find 12b2and add to the both sides of equation.

=12-62=-32=9

Add 9both side of equation

n2-6n+9=23+9n2-6n+9=32

04

Factor the perfect square trinomial as a binomial square  

n-32=32

Use square root property

n-3=卤42n=卤42+3n=-42+3,42+3

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Most popular questions from this chapter

Solvex2=81.

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

b2-4b

Solve the quadratic equation using square root property.

25x2-30x+9=36

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

a2+10a

Solve(2t-8)2=-10.
See all solutions

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