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Methods of solving quadratic equations
There are four methods of solving quadratic equations. i) By factorization ii) By completing the squares iii) By using the formula iv) By graphi..
Equations reducible to quadratic form
Type 1 - Equations of the form In such equations, put x n = t then the equation reduces to at 2 + bt + c = 0. Solve for t and then obtain the value of ..
Type 1 - Equations of the form In such equations, put x n = t then the equation reduces to at 2 + bt + c = 0. Solve for t and then obtain the value of ..Quadratic equation
An equation of the type where a, b, c are constants is called a quadratic equation in the variable x or an equation of the second degree. In the above equation, a is the coefficient of x 2 b is the coefficient of x and c is the constant term or ..
An equation of the type where a, b, c are constants is called a quadratic equation in the variable x or an equation of the second degree. In the above equation, a is the coefficient of x 2 b is the coefficient of x and c is the constant term or ..Relation between the roots of a quadratic equation
Our investigation reveals that there is a definite relationship between the roots of a quadratic equation and the coefficient of the second term and the constant term. The sum of the roots of a quadratic equation is equal to the negation of the coeff..
Quadratic Equations - Nature of Roots
. A quadratic equation has exactly two roots. For the quadratic equations, we have i) b 2 - 4ac > 0 Roots are real and distinctii) b 2 - 4ac = 0 Roots are real and equaliii) b 2 - 4ac < 0 Roots are imaginary and distinct If the roots of ax2 + bx + c = 0..
. A quadratic equation has exactly two roots. For the quadratic equations, we have i) b 2 - 4ac > 0 Roots are real and distinctii) b 2 - 4ac = 0 Roots are real and equaliii) b 2 - 4ac < 0 Roots are imaginary and distinct If the roots of ax2 + bx + c = 0..Quadratic Equations Introduction
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbe..
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbe..Roots of a quadratic equation
A root of the equation f(x) = 0 is that value or values of x which make f(x) = 0. In other words, x = a or x = b are said to be the root of f(x) = 0, if f( a ) = 0, and f( b ) = 0 i.e., in f(x) = 0, replace x either by a or by b ..
Which of the following can be the discriminant of the graph of the qua..
Which of the following can be the discriminant of the graph of the quadratic equation? => b 2 - 4 ac = - 3 or b 2 - 4 ac = 0 or b 2 - 4 ac = 5 or b 2 - 4 ac = 16..
Formation of quadratic equations from given roots and conditions
i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs. i.e., a + i b and a - i ..
i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs. i.e., a + i b and a - i ..Which of the following can be the discriminant of the graph of the qua..
Which of the following can be the discriminant of the graph of the quadratic equation? => b 2 - 4 ac = 5 or b 2 - 4 ac = - 15 or b 2 - 4 ac = - 100 or b 2 - 4 ac = 0..
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