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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..
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..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 ..Identify a quadratic equation with solutions 2 and - 4.
Identify a quadratic equation with solutions 2 and - 4. => x 2 - 2 x + 8 = 0 or x 2 + 2 x + 8 = 0 or x 2 - 2 x - 8 = 0 or x 2 + 2 x - 8 = 0..
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..
Result
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