Quadratic Equations
An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0). The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient. The pro..
Quadratic Equations
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..
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..What is the value of |- 83| + |- 22|?
What is the value of |- 83| + |- 22|? => - 105 or - 61 or 61 or 105..
In which of the following places is the digit 7 in the decimal number ..
In which of the following places is the digit 7 in the decimal number 83.6275? => tenths or hundredths or thousandths or units..
Result
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