What is the answer to the quadratic equation?
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What is the answer to the quadratic equation?
First note that a = 1, b = −4, and c = 10. The result is a negative number. The discriminant is negative, so the quadratic equation has two complex solutions. The quadratic equation x2 – 4x + 10 = 0 has two complex solutions….
| x = 1 | x = −5 |
|---|---|
| 1 + 4 = 5 | 25 ‒ 20 = 5 |
| 5 = 5 | 5 = 5 |
What are the steps in solving quadratic equation using the quadratic formula?
How to solve a quadratic equation using the Quadratic Formula.
- Write the quadratic equation in standard form, ax2 + bx + c = 0. Identify the values of a, b, c.
- Write the Quadratic Formula. Then substitute in the values of a, b, c.
- Simplify.
- Check the solutions.
What is b2 in quadratic equation?
The Quadratic Formula The quantity b2−4ac is called the discriminant of the polynomial.
What happens when b2 4ac is zero?
If (b2 – 4ac) > 0.0, two real roots exist (i.e, the equation crosses the x-axis in two places — the x-intercepts). If (b2-4ac) = 0, then only one real root exists — where the parabola touches the x-axis at a single point.
How do you solve for X in a quadratic equation?
Use the quadratic formula to find the solutions. Substitute the values a = 3 a = 3, b = 1 b = 1, and c = −5 c = – 5 into the quadratic formula and solve for x x. Simplify.
What are the zeros of a quadratic equation called?
These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation. The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.
What is the general form of the quadratic equation?
The general form of the quadratic equation is: Here, a ≠ 0 because if it equals zero then the equation will not remain quadratic anymore and it will become a linear equation, such as: Thus, this equation cannot be called a quadratic equation.
What is a quadratic equation whose highest degree is 2?
The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by ax² + bx + c = 0, where a ≠ 0. What are the methods to solve a quadratic equation? There are majorly four methods of solving quadratic equations.