84.6k views
0 votes
Explain how to find the solution to a quadratic equation with imaginary numbers using a calculator.

User Leolo
by
6.9k points

1 Answer

4 votes

Final answer:

To solve a quadratic equation with imaginary numbers using a calculator, follow these steps: write down the equation, enter the coefficients into the calculator, use the quadratic formula to calculate the solutions, and round the solutions if necessary.

Step-by-step explanation:

To solve a quadratic equation with imaginary numbers using a calculator, follow these steps:

  1. Write down the equation in the form ax^2 + bx + c = 0, where a, b, and c are coefficients.
  2. Enter the values of a, b, and c into your calculator.
  3. Use the quadratic formula, x = (-b ± √(b^2 - 4ac))/(2a), to calculate the solutions.
  4. If the discriminant, b^2 - 4ac, is negative, you will get imaginary solutions.
  5. Round the solutions to the desired decimal places, if necessary.

For example, let's solve the equation 2x^2 + 5x + 3 = 0:

  1. Enter the values a = 2, b = 5, and c = 3 into your calculator.
  2. Use the quadratic formula to get x = (-5 ± √(5^2 - 4(2)(3)))/(2(2)).
  3. Simplifying, you get x = (-5 ± √(25 - 24))/(4), which becomes x = (-5 ± √(1))/(4).
  4. Since the discriminant is positive, the solutions are real.
  5. Rounding to two decimal places, you get x = (-5 + 1)/(4) = -1 and x = (-5 - 1)/(4) = -1.5.
User FFFffff
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories