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Chapter 10: Q 238 (page 1236)

Solve Quadratic Equations Using the Square Root Property: 4b2-28b+49=25

Short Answer

Expert verified

The required result isb=6,1

Step by step solution

01

Given information  

The given expression is4b2-28b+49=25

02

Use square root property and binomial square 

a2+b2-2ab=a-b2(2b)2+72-2(2b)(7)=252b-72=25(2b-7)=卤252b-7=卤52b=卤5+72b=12,2b=6,1

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Most popular questions from this chapter

Solve the quadratic equation using square root property.

(a-4)2=28

Solve34y2-3=18.

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

n2+16n

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.

A man throws a ball into the air with a velocity of 96feet/sec.Use the formula h=-16t2+v0tto determine when the height of the ball will be 48 feet . Round to the nearest tenth of a second.
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