- #1
abhipatel
- 30
- 0
X^2(2a – bX^2) = 2
value of constants can be pre-determined as a =0.8466 & b= 0.1733. Find X?
value of constants can be pre-determined as a =0.8466 & b= 0.1733. Find X?
A quadratic equation is an algebraic equation of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. It is a second-degree polynomial equation and can have up to two solutions.
To solve a quadratic equation, you can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / 2a. You can also solve it by factoring, completing the square, or graphing the equation and finding the x-intercepts.
A quadratic equation can have two real solutions, one real solution, or two complex solutions. Real solutions are numbers that can be written as a decimal or fraction, while complex solutions involve the imaginary number i = √(-1).
The discriminant of a quadratic equation is the value inside the square root in the quadratic formula, b² - 4ac. It determines the nature of the solutions: if the discriminant is positive, there are two real solutions, if it is zero, there is one real solution, and if it is negative, there are two complex solutions.
Quadratic equations are used in many scientific fields, such as physics, engineering, and economics, to model real-world situations. They can be used to find the maximum or minimum values of a function, solve problems involving projectile motion or energy, and make predictions about future outcomes.