## Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

# Chapter 1 - Section 1.5 - Equations - 1.5 Exercises: 77

No Real Solution

#### Work Step by Step

$Find$ $all$ $real$ $solutions$ $of$ $the$ $quadratic$ $equation:$ $7x^2-2x+4=0$ Use the Quadratic Equation Formula: $x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$ $7x^2-2x+4$ $a = 7, b = -2, c = 4$ $x = \frac{-(-2) \pm \sqrt {(-2)^2- 4(7 \times 4)}}{2(7)}$ $x = \frac{2 \pm \sqrt {4- 112}}{14}$ $x = \frac{2 \pm \sqrt {-108}}{14}$ You can never square root a negative number, so there is no real solution No Real Solution

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