![]() ![]() Example 5: Quadratic Equation (Non-Standard Form) Now, we have a quadratic equation in standard form, with a = 11, b = -4, and c = -7, so all of the coefficients are nonzero. To convert it to standard form, we need to subtract 5 from both sides. The equation 11x 2 – 4x – 2 = 5 is a quadratic equation, but it is not in standard form (since the right side is equal to 5, not zero). Example 4: Quadratic Equation (Non-Standard Form) In this case, we have a = 8, b = 0, and c = 6, so one of the coefficients (b) is zero. The equation 8x 2 + 9 = 0 is a quadratic equation in standard form (since the right side is equal to zero). Example 3: Quadratic Equation (Zero Linear Term) In this case, we have a = 7, b = 6, and c = 0, so one of the coefficients (c) is zero. The equation 7x 2 + 6x = 0 is a quadratic equation in standard form (since the right side is equal to zero). Example 2: Quadratic Equation (Zero Constant Term) In this case, we have a = 3, b = -5, and c = 2, so all of the coefficients are nonzero. The equation 3x 2 – 5x + 2 = 0 is a quadratic equation in standard form (since the right side is equal to zero). Example 1: Quadratic Equation (All Three Coefficients Nonzero) Here are a few examples of quadratic equations, some of which have zero coefficients. If we have a quadratic equation that is not in standard form, we can rearrange it into standard form by subtracting terms from both sides until one side is zero. This means that the highest power of the variable x is 2. This is the form where one side of the equation is zero, and all other terms are gathered on the opposite side.Ī quadratic equation contains only second-degree polynomials. The form above is known as the standard form of a quadratic equation. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |