What are the applications of quadratic equations?
Answer: In daily life we use quadratic formula as for calculating areas, determining a product’s profit or formulating the speed of an object. In addition, quadratic equations refer to an equation that has at least one squared variable.
What are real life examples of quadratic equations?
Balls, Arrows, Missiles and Stones. When you throw a ball (or shoot an arrow, fire a missile or throw a stone) it goes up into the air, slowing as it travels, then comes down again faster and faster … and a Quadratic Equation tells you its position at all times!
What is an example of a quadratic equation with only one solution?
Explanation: The solution of a quadratic equation ax2 + bx + c = 0 is given by the quadratic formula x = [-b ± √(b2 – 4ac)] / 2a, to find the solution of a quadratic equation. In the case of one real solution, the value of discriminant b2 – 4ac is zero. For example, x2 + 2x + 1 = 0 has only one solution x = -1.
Who invented quadratic equation?
The 9th-century Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī solved quadratic equations algebraically. The quadratic formula covering all cases was first obtained by Simon Stevin in 1594. In 1637 René Descartes published La Géométrie containing special cases of the quadratic formula in the form we know today.
What are the different methods for solving a quadratic equation?
The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
What are some real life applications of quadratic functions?
There are many real-world situations that deal with quadratics and parabolas. Throwing a ball, shooting a cannon, diving from a platform and hitting a golf ball are all examples of situations that can be modeled by quadratic functions.
What is quadratic equation with example?
In math, we define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x^2 + 3x + 1.
Which equation has only one solution?
2 Answers By Expert Tutors A quadratic equation only has one solution if the discriminant is zero.
