   Chapter 0.5, Problem 18E

Chapter
Section
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution. 3 x 2 − 1 = 0

To determine

To calculate: The all real solutions in the quadratic equation 3x21=0.

Explanation

Given Information:

The provided quadratic equation is 3x21=0.

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 3x21=0.

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

a=3, b=0 and c=1

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

x=0±(0)243(1)23=0±0+126=0±126=±126

Further solve

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