   Chapter 0.5, Problem 24E

Chapter
Section
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution. 16 x 2 = − 24 x − 9

To determine

To calculate: The all real solutions in the quadratic equation 16x2=24x9.

Explanation

Given Information:

The provided quadratic equation is 16x2=24x9.

Formula used:

The value of x in the equation ax2+bx+c=0 can be given by the quadratic formula,

x=b±b24ac2a where a,b and c are real numbers with a0.

Calculation:

Consider the quadratic equation 16x2=24x9.

Add 16x2 on both sides in the above equation,

16x216x2=24x916x20=24x916x2

The quadratic equation can be written as 16x224x9=0

Compare the above equation with the equation ax2+bx+c=0,

a=16, b=24 and c=9

Put the values of a,b,c in the quadratic formula x=b±b24ac2a

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