Describe how you would prepare the following aqueous solutions?

For the following equation, state value of discriminate and describe the nature of the solutions.?

• 14x^2+5x-8=0 I need the value_______ a) the equation is 2 real solutions b) one real solution c) 2 imaginary solutions. Thanks so much!!

• Answer:

  For the standard quadratic equation ax² + bx + c = 0, the solutions are [-b + √(b² ‒ 4ac)]/(2a) or x = [-b ‒ √(b² ‒ 4ac)]/(2a). The number under the radical, b² ‒ 4ac is the “discriminant.” 1. If b² ‒ 4ac = 0, then there is only one solution (-b/2a) called a “double” root 2. If b² ‒ 4ac >0 and a perfect square, then there are two Rational roots 3. If b² ‒ 4ac > 0 but not a perfect square, then there are two Irrational roots 4. If b² ‒ 4ac < 0, then both roots are Complex conjugates (m + ni)(m – ni) Now apply this to your exercise.