Chapter 4, Problem 19SGA

To determine

To find: The discriminant of $-2y^2+3y+8=0$ and describe the nature of the roots of the equation. Then solve the equation by using the Quadratic Formula.

Answer to Problem 19SGA

Two real distinct roots

  $y=\frac{-3\pm \sqrt{73}}{-4}$

Explanation of Solution

Given information: $-2y^2+3y+8=0$

Calculation:

Given:

  $-2y^2+3y+8=0$

Use $b^2-4ac$ formula and check the roots

  ${\left(3\right)}^2-4\cdot -2\cdot 8=73>0$

Two real distinct roots

Use quadratic formula

  $y=\frac{-3\pm \sqrt{73}}{-4}$