What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formu

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Question: What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formula?

Options:

x = 3
x = -1
x = 2
x = -3

Correct Answer: x = 3

Solution:

Using the quadratic formula x = (-b ± √(b² - 4ac)) / 2a. Here, a = 2, b = -4, c = -6. Discriminant = (-4)² - 4(2)(-6) = 16 + 48 = 64. Thus, x = (4 ± √64) / 4 = (4 ± 8) / 4. Solutions are x = 3 and x = -1.

What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formu

Practice Questions

What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formula?

x = 3
x = -1
x = 2
x = -3

Questions & Step-by-Step Solutions

What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formula?

Step 1: Identify the coefficients in the equation 2x^2 - 4x - 6 = 0. Here, a = 2, b = -4, and c = -6.
Step 2: Write down the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.
Step 3: Calculate the discriminant (b² - 4ac). First, find b²: (-4)² = 16.
Step 4: Calculate 4ac: 4 * 2 * -6 = -48. So, 16 - (-48) = 16 + 48 = 64.
Step 5: Substitute the values into the quadratic formula: x = (4 ± √64) / 4.
Step 6: Calculate √64, which is 8. So, x = (4 ± 8) / 4.
Step 7: Solve for the two possible values of x: First, x = (4 + 8) / 4 = 12 / 4 = 3. Second, x = (4 - 8) / 4 = -4 / 4 = -1.
Step 8: The solutions to the equation are x = 3 and x = -1.

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What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formu

What’s inside this PDF?

What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formu

Practice Questions

Questions & Step-by-Step Solutions

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