For what value of K, the quadratic equation 8Kx2 - 4x + (9K - 8) = 0 h..
For what value of K, the quadratic equation 8K x 2 - 4 x + (9K - 8) = 0 has one root as the reciprocal of the other. => -8 or 8 or 17 or 13..
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 ..Equations reducible to quadratic form
Recall, a quadratic equation is of the form . An equation is said to be reducible to quadratic (or of quadratic form) if the variable factor of the leading term is the square of the variable factor in the second variable term. We can solve the..
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..
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..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 ..Relation between the roots of a quadratic equation
Let a and b be the roots of the equation (i), Then x = a and x = b Since a and b are the roots of the equations (i) and (ii), both the equations are identical. Dividing equation (i) by 'a', we get The equations (ii) and (iii)..
Let a and b be the roots of the equation (i), Then x = a and x = b Since a and b are the roots of the equations (i) and (ii), both the equations are identical. Dividing equation (i) by 'a', we get The equations (ii) and (iii)..Completing a square and quadratic equation solution
I Method - Methods of completing a square and to derive the formula for the solution of the quadratic equation..
I Method - Methods of completing a square and to derive the formula for the solution of the quadratic equation..Formation of quadratic equations from given roots and conditions
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 comple..
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 comple..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 = 4 or b 2 - 4 ac = 0 or b 2 - 4 ac = 2 or b 2 - 4 ac = 8..
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