Here you will learn how to solve quadratic equation by factorisation with examples. Let’s begin – Solve Quadratic Equation by Factorisation Step 1. Splitting of middle term : (i) If the product of a and c = +ac then we have to choose two factors ac whose sum is equal to b. (ii) If the …
Here you will learn how to find solution of quadratic equation of class 10 and different methods used to solve quadratic equation. Let’s begin – Solution of Quadratic Equation Class 10 (a) The general form of quadratic equation is \(ax^2 + bx + c\) = 0, a \(\ne\) 0. The roots or solution of quadratic …
Here you will learn what are the roots of quadratic equation with examples. Let’s begin – Roots of Quadratic Equation If p(x) = 0 is a quadratic equation, then the zeroes of the poynomial p(x) are called the roots of the quadratic equation p(x) = 0. Thus, x = 1 is a root of p(x) …
Here you will learn quadratic equation concepts and what is quadratic equation in standard form. Let’s begin – Quadratic Equation If p(x) is a quadratic polynomial, then p(x) = 0 is called a quadratic equation. For example, \(x^2 + 2x – 8\) = 0, \(x^2 – 5x + 6\) = 0 are quadratic equations. The …
Here you will learn what is the polar form of complex numbers with examples. Let’s begin – Polar Form of Complex Numbers Let z = x + iy be a complex number represented by a point P(x, y) in the argand plane. Then by the geometrical representation of z = x + iy, we have …
Here you will learn how to find argument or amplitude of a complex number with examples. Let’s begin – Amplitude of a Complex Number (Argument of Complex Number) Let z = x + iy, Then, The angle \(\theta\) which OP makes with the positive direction of x-axis in anticlockwise sense is called the argument or …
Here you will learn what is square root and how to find square root of complex number with examples. Let’s begin – How to Find Square Root of Complex Number Let a + ib be a complex number such that \(\sqrt{a + ib}\) = x + iy, where x and y are real numbers. Then, …
Here you will learn how to find the reciprocal of a complex number with examples. Let’s begin – How to Find the Reciprocal of a Complex Number The reciprocal is also called multiplicative inverse. Let z = a + ib be a non-zero complex number. Then \(1\over z\) = \(1\over a + ib\) Multiply numerator …
Here you will learn how to find the modulus of a complex number and properties of modulus with examples. Let’s begin – How to Find the Modulus of a Complex Number The modulus of a complex number z = a + ib is denoted by | z | and is defined as | z | …
Here you will learn how to find the conjugate of a complex number and properties of conjugate with examples. Let’s begin – How to Find the Conjugate of a Complex Number Let z = a + ib be a complex number. Then the conjugate of z is denoted by \(\bar{z}\) and is equal to a …
