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Chapter 4: Q. 29 (page 163)

In Exercises 28-33 xrepresents the length of a segment. When a value of xdoesn't make sense as a length, eliminate that value of x.

x2−400=0

Short Answer

Expert verified

The values of isx=20

Step by step solution

01

- Understand the concept used 

ifax2+bx+c=0witha≠0thenx=−b±b2−4ac2aSolving using factoring can be done by splitting the middle term of equation and then making groups and equating them to zero.

02

- Substitute the values 

It is given that x2−400=0Using quadratic formula x=−b±b2−4ac2a

, substitute 1 for a, 0 for b and -400 for c.

Put the values in the formula and get x=−0±02−4×1×−40021.

03

- Simplify for x 

Simplify the expression for x.

x=−0±02−4×1×−40021=±16002=±402

Therefore, eitherx=402orx=−402that is., eitherx=20orx=20 Here, the is having two values. 20 and -20. Since, is a length of a segment that could not be negative, therefore, the value of is 20.

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