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Chapter 10: Q 10.26 (page 1164)

Solve16n2+40n+25=4.

Short Answer

Expert verified

The solutions aren=-74,-34.

Step by step solution

01

Given Information. 

The Given equation is16n2+40n+25=4.

02

Factor the trinomial.  

(4n)2+(2×5×4)+(5)2=4(4n+5)2=4

Use square root property.

4n+5=±44n+5=±2

03

Isolate the term.    

n=-5±24

Rewrite to show two solutions.

n=-5+24=-34n=-5-24=-74

The solutions aren=-74,-34.

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Most popular questions from this chapter

The length of a 200 square foot rectangular vegetable garden is four feet less than twice the width. Find the length and width of the garden . Round to the nearest tenth of a foot.

Solve the quadratic equation using square root property.

25x2-30x+9=36

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

n2+13n

Solve(b-3)2-8=24.

Solve the quadratic equation using square root property.

(5c+1)2=-27
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