document.write( "Question 604547: 1/5v+8 how do I make the rational expression undefined? \n" ); document.write( "
Algebra.Com's Answer #381259 by bucky(2189) ![]() You can put this solution on YOUR website! You are given the rational term below: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "In algebra, division by zero is not allowed. You can think of it this way: division is the opposite process of multiplication. If you have a division, then you should be able to reverse this process by multiplying the divisor by the quotient to get the dividend. (This is a way that is normally used to check a division problem.) \n" ); document.write( ". \n" ); document.write( "However, if you have a division problem in which the divisor equals zero, you can multiply that divisor by any quotient, and you always get zero as the answer instead of the dividend. Therefore, division by zero is said to be \"undefined.\" \n" ); document.write( ". \n" ); document.write( "So to make your given rational term be undefined you can make the denominator equal to zero. What you need to do is set the denominator, 5V + 8, equal to zero as follows: \n" ); document.write( ". \n" ); document.write( "5V + 8 = 0 \n" ); document.write( ". \n" ); document.write( "Then solve this equation for V as follows. First subtract 8 from both sides to get: \n" ); document.write( ". \n" ); document.write( "5V + 8 - 8 = 0 - 8 \n" ); document.write( ". \n" ); document.write( "On the left side the + 8 and the - 8 cancel each other out, and you can write the right side of the equation as just -8. So you have: \n" ); document.write( ". \n" ); document.write( "5V = -8 \n" ); document.write( ". \n" ); document.write( "Solve for V by dividing both sides by 5 to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This tells you that in your rational term if V equals -8/5 the denominator (or divisor) equals zero and the entire term becomes undefined. \n" ); document.write( ". \n" ); document.write( "I hope this explanation helps you to understand the solution to this problem. \n" ); document.write( " |