द्विघात समीकरण को हल करो Solve Quadratic Equations By Er. Ashish Sir

द्विघात समीकरण को हल करो Solve Quadratic Equations By Er. Ashish Sir #ssc #maths #ErAshishSirmaths
your queries:-
A quadratic equation is a polynomial equation of degree two
meaning the highest power of the variable (usually x) is two
It has the general form:
ax^2 + bx + c = 0
where:
a, b, and c are constants
x is the variable
a ≠ 0 (if a = 0, it's a linear equation)
Quadratic equations can be solved using various methods
such as:
‪@Integralganit‬
Factoring
Quadratic Formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Graphing
Quadratic equations have many applications in various fields
including physics
engineering
economics
and computer science
They are used to model phenomena like motion
optimization
and growth
Some key features of quadratic equations include:
- Parabolic shape when graphed
- Axis of symmetry
- Vertex (minimum or maximum point)
- X-intercepts (roots or solutions)
- Y-intercept
Quadratic equations are a fundamental concept in algebra and mathematics, and understanding them is crucial for solving many real-world problems.
Here are some shortcuts for factoring quadratic equations:
1. *Difference of Squares*:
ax^2 - bx - c = (x - √b)^2 - (√c)^2
2. *Perfect Square Trinomial*:
ax^2 + bx + c = (x + √b/2a)^2
3. *Sum and Product*:
ax^2 + bx + c = (x + m)(x + n)
where mn = c and m + n = b
4. *AC Method*:
ax^2 + bx + c = (x + r)(x + s)
where r = -b/(2a) and s = c/ar
5. *Factoring out the greatest common factor (GCF)*:
ax^2 + bx + c = d(x^2 + (b/d)x + c/d)
where d = GCF of a, b, and c
These shortcuts can help you quickly factor quadratic equations and solve them efficiently!
#quadraticequation
#quadratic
#maths
#algebra
#algorithm
#arithematic
quadratic equations:
Quadratic Equation
Quadratic Formula
X-intercepts
Y-intercept
Vertex Form
Factored Form
Standard Form
Axis of Symmetry
Graphing Quadratics
Solving Quadratics
Quadratic Function
Parabola
mathematics by er Ashish Sir