   Chapter A.3, Problem 9E ### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
ISBN: 9781305580343

#### Solutions

Chapter
Section ### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
ISBN: 9781305580343
Textbook Problem

# Find the positive solution (or solutions) to the following equation: 1.80 x 2 + 0.850 x − 9.50 = 0

Interpretation Introduction

Interpretation:

The positive solution of the given equation has to be calculated.

Concept introduction:

An equation involving only powers of x in which the highest power is 2. General form of this equation is given by

ax2+bx+c=0where,a,bandcareconstants.

The value of x is calculated by using the values of a,bandc

x=-b±b2-4ac2a

To find: The positive solution of the given equation

The positive solution of the given equation is 2.0733.

Explanation

Given equation,

1.80x2+0.850x-9.50=0

Apply quadratic formula to find the value of x

1.80x2+0.850x-9.50=0here,a=1.80;b=0.850andc=-9.50x=-(0.850)±(0.850)2-4(1.80)(-9.50)2(1.80)=-0.850±0.7225+68.42(1.80)=-0.850±69.12253.6=-0.850±8.31403.6=2.0733and-2.5455

The positive solution for the given equation is 2.0733.

Conclusion

By using quadratic formula the positive solution of the given equation was calculated.

Find quality solutions to thousands of textbooks. All for just \$9.99/month

Get As ASAP

## Additional Science Solutions

#### Find more solutions based on key concepts 