Knowee
Questions
Features
Study Tools

Question 5 of 25Which of the following are solutions to the quadratic equation? Check all that apply.x2 + 2x - 8 = 0A.1B.2C.28D.-1E.-4F.4

Question

Question 5 of 25Which of the following are solutions to the quadratic equation? Check all that apply.x2 + 2x - 8 = 0A.1B.2C.28D.-1E.-4F.4

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the solutions to the quadratic equation x² + 2x - 8 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b² - 4ac)] / 2a.

Here, a = 1, b = 2, and c = -8.

Step 1: Calculate the value under the square root, b² - 4ac = (2)² - 4*(1)*(-8) = 4 + 32 = 36.

Step 2: Calculate the square root of 36, which is 6.

Step 3: Substitute these values into the quadratic formula to find the solutions for x.

x = [-2 ± 6] / 2*1 = -2 ± 6 / 2 = -4 or 2.

So, the solutions to the equation are x = -4 and x = 2.

Therefore, the correct answers are B.2 and E.-4.

This problem has been solved

Similar Questions

Question 3 of 25Use the quadratic formula to find the solutions to the quadratic equation below.2x2 - 5x + 5 = 0A.B.C.D.

1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.Solutions:(i) x2–2x –8

For which of the following quadratic equations are the roots 2 and 5?x2 + 7x - 10 = 0x2 - 11x - 10 = 0x2 - 7x + 10 = 0x2 - 3x - 10 = 0

The solutions of the quadratic equation

Question 11 of 25The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.A.3B.-1C.-18D.0

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.