Digeration equations are an important subject under the quantitative aptitude section in IBPS RRB Clerk and PO 2025 exams. These questions usually give you two equations, and you have to find their roots and compare them. Many students find the subject difficult, but with the right methods, it becomes simple. If you learn some basic tricks and practice regularly, you can quickly solve these questions in the exam. This article explains all the easy techniques that you should know to correctly solve quadratic equations.
IBPS RRB Clerk and PO 2025 to solve quagged equations
In IBPS RRB Clerk and PO 2025 Exam, quadrat equation questions are asked to check your original mathematics and speed. These questions may seem difficult at first, but they follow a certain pattern. If you understand the pattern and use smart solution methods, you can get answers within seconds. You do not need long calculations for these questions. Below are the techniques that can help you solve quadrilateral equations during the exam quickly and correctly.
Factoring method
It is the most commonly used and time-saving technology. In this method, you break the middle word into two parts such as their product is equal to the product of the first and final coefficient.
Example:
X – + 7X + 12 = 0 for equation
You need two numbers that multiply by 12 and add up to 7 → 3 and 4
So, the equation becomes: (x + 3) (x + 4) = 0
The roots are x = -3 and x = -4
Quarrel
This method is useful when the equation is not easily factor. Use this method when the factor is not clear or the equation is complicated. The formula is:
X = (-B (√ (b kka-4 ac)) / 2A
Where A, B, and C equations are coefficients from AX – + BX + C = 0
Special cases and shortcuts
One. The roots are the same
If BG = 4AC, the roots of the equation are the same.
In such cases, only one value is repeated.
B. No real roots
If there are no real roots of B, <4Ac, equation.
C. When c = 0
If the continuous word is zero, one of the roots will be 0.
Example: x = – 5x = 0 → x (x – 5) = 0 → x = 0 or 5.
Quickly compare the roots
After solving both equations, you should compare the values ​​of X and Y. Use logic instead of writing all comparisons:
- If both the roots of X are more than both the roots of Y → x> Y.
- If both the roots of x y → x
- If one x is more and one is small → relationship cannot be determined.
