Class 10th Mathematics Handwritten Notes of Chapter 4 ( Quadratic Equations ) Free PDF Download of class 10 Notes
(Quadratic Equations)
A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
Quadratic equations can be solved using the quadratic formula, which states that the roots of the equation, x, can be found using the following formula:
x = (-b ± √b^2 - 4ac) / 2a
In this formula, a, b, and c are the coefficients of the original equation, and x is the variable.
To solve a quadratic equation, first identify the coefficients of the equation. For example, consider the equation 2x^2 + 5x + 3 = 0. In this equation, a = 2, b = 5, and c = 3.
Next, substitute these values into the quadratic formula to get:
x = (-5 ± √25 - 4(2)(3)) / 2(2)
Simplifying this equation gives:
x = (-5 ± √7) / 4
Therefore, the two roots of the equation are x = (-5
A quadratic equation is an equation of the form ax 2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. It is called "quadratic" because the highest power of x in the equation is 2. Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula.
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