Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.3 - Quadratic Formula - Concept Quiz 10.3 - Page 452: 3



Work Step by Step

The standard form of a quadratic equation is $ax^{2}+bx+c=0$. Also, the quadratic formula is: $x=\frac{-b \pm \sqrt {b^{2}-4ac}}{2a}$ A quadratic equation must be brought into its standard form of $ax^{2}+bx+c=0$ if it is to be solved by the quadratic formula. Since $3x^{2}+2x+5=0$ is according to the standard form of a quadratic equation $ax^{2}+bx+c=0$, it can be directly solved through the quadratic formula without the reduction of its coefficient $a$ to one. Therefore, the question statement is false.
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