The second-degree equation of a polynomial is called the Quadratic Equation. The general quadratic equation is given by ax2+bx+c=0, where a, b, c are real numbers, and a is unequal to 0. Here we go for the aspirants of best in class Bank examinations like SBI PO, IBPS Clerk, SBI Clerk, IBPS PO, IBPS RRB Clerk, RBI Grade A, B, NABARD Grade A & B.
This article will talk about Quadratic Equations questions and answers, quiz, notes, tricks, topics, syllabus, formula and problems in Bank examinations.
- It is to be remembered that the curve of the Quadratic Equation is always parallel. Middle Term Factorisation is one of the most known tricks to solve Quadratic Equations; however, we suggest not to follow it always.
The Golden Rules for this topic are:
- Number of equations required to solve an equation = Number of variables of that equation
- Number of solutions = Degree of that Equation
Quadratic Equation Topics for Bank Exam
There are certain topics that one should be aware of while understanding the basic facts of any Quadratic Equation. There must be two roots in any quadratic equation. Real or Imaginary are the two types of Roots. Few more explanations are given below.
- Roots of a Quadratic Equation: A value of a variable which satisfies the particular quadratic equation is called the root of that equation or solution of that equation.
Example: Let the equation is x²-6x+8=0.
Here, we take x=2, then 2²-6(2) +8=0
So, x=2 is a root of the quadratic equation.
- The solution of a Quadratic Equation: The solution of a quadratic equation can be found by two methods. There are two main Quadratic Equations formulas for bank exams.
Formula 1: By Factorisation Method (Let the quadratic equation be ax²+bx+c=0. If the factors of ax²+bx+c are (x+a) (x+b), then the solution is x= -a, -b)
Formula 2: By Quadratic Formula (If the given equation is ax²+bx+c=0, then roots of a quadratic equation can be determined by the formula. This formula is known as Sridharacharya Formula, where (b²-4ac) is the discriminant (D) of the equation.)
- Nature of Roots of a Quadratic Equation: This may come as a Quadratic Equations quiz for bank exams. Let D = (b²-4ac) be the discriminant of the quadratic equation ax2+bx+c=0.
Then the two roots are real and unequal
Then the two roots are real and equal
Then there are no real roots
If D>0 and D is a perfect square
Then roots are rational
If D>0 and D is not a perfect square
Then roots are irrational
Tips & Tricks to Solve Quadratic Equation Questions for Bank Exams
There are three tips/tricks for Quadratic Equations questions and answers for bank exams. Every Quadratic Equation can be solved using these three tricks. One should mug them up religiously because it will be a time saver when you have a scarcity of time.
Factoring the Equation
Combine all of the like terms and move them to one side of the equation
Apply Quadratic Formula
Combine all of the like terms and move them to one side
Completing the Square
Move all the terms to one side of the equation.
Importance of Quadratic Equation in Section of Competitive Banking & Government Exams
- Quadratic equations are immensely important as it facilitates a mental engagement that requires prompt solutions for Bank Exams.
- Quadratic equations have a short syllabus and carry an incredible potential to unfold the thinking capability of any Banking aspirant.
- An average of 4 questions from the Quadratic Equation is usually asked in every Government Banking Competitive exams.
- There are certain dimensions of our brain cells that get triggered while solving Quadratic Equations which represent itself as the Confidence indicator and positive traits for the Banking aspirant.
Best Books for Quadratic Equations
Quadratic Equation is a bit complex methodology to establish the relationship. So, it should be taught in the simplest form. The simpler way you understand, the best use of Quadratic Equation you can apply at different levels of Banking Examination and in your life. Henceforth according to research, it is recommended to follow the below-mentioned books.
A Beginner's Guide to Quadratic Equations
Quadratic Equations Review Book
Quadratic Equations Bundle
Successful First Depositions
Error Analysis - Solving Quadratic Equation using the Quadratic Formula
Solving Quadratic Equations with Quadratic Formula activity
Why Prepare Quadratic Equations from BYJU'S Exam Prep?
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- Preparation tips and Coaching is just a moment of incredible choice that helps you to solve Quadratic Equation problems for Bank exams. They have online coaching facilities for Bank Exams.
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- You get expert teachers to support with maximum experience for the Quadratic Equation Syllabus for Bank exams
- Ample quizzes and tests and conducted by BYJU'S Exam Prep on Quadratic Equation Notes for Bank exams
- BYJU'S Exam Prep helps you to clear any doubts on Quadratic Equation topics for Bank exams.
Most researched FAQs in Quadratic Equations:
- What is the existence of Roots in a Quadratic Equation?
The Quadratic Equation ax2+bx+c=0 carry three possibilities. Firstly, two distinct real roots if b2-4ac>0. Secondly, two equal real roots if b2-4ac=0. Thirdly, no real roots if b2-4ac<0.
It is an expression which consists of indeterminates and coefficients. Indeterminates are also known as Variables. It only comes to the picture when there is a requirement of multiplication, subtraction, addition and any non-negative integer exponentiation of a variable.
- Are Constant and Coefficient the same?
Yes, both terms are the same having different terminology. The coefficient of any polynomial is sometimes noted as complex or real numbers.
- Is it possible that the Quadratic Equation has multiple variables:?
No, Quadratic Equation will never have multiple variables. Any equation which is Quadratic must have a curve Graph. It will be parallel and can never intersect each other at any point under any given circumstances. However, any Quadratic Equation will have a Second Degree Equation.
Formation of two real roots occurs if a parabola intersects the x-axis in two points. They are called the x-coordinate of those two points. They are also known as x-intercept. The double root occurs if the parabola is tangent to the x-axis. They are called the x-coordinate of that contact point between the graph and parabola. There are two complex conjugate roots if the parabola does not intersect the x-axis. These roots are invisible on a graph; however, their imaginary and real parts can be.