WebExample: Let us find the roots of the same equation that was mentioned in the earlier section x 2 - 3x - 4 = 0 using the quadratic formula. a = 1, b = -3, and c = -4. ... For D > 0, the roots are real and distinct, for D = 0 the roots are real and equal, and for D < 0, the roots do not exist or the roots are imaginary complex numbers. With the ... WebThe factored form of a quadratic equation helps in finding its roots or solutions. For example: As seen in the previous section, the factored form of x2 −5x+6 = 0 x 2 − 5 x + 6 = 0 is (x −2)(x −3) = 0 ( x − 2) ( x − 3) = 0. Now, when the product of two terms is 0 it means either of them could be 0. So,

Nature of Roots of Quadratic Equation: Solved Examples - Embibe

WebWhether the discriminant is greater than zero, equal to zero or less than zero can be used to determine if a quadratic equation has no real roots, real and equal roots or real and … Web1) Use the rational root theorem : Possible rational roots = (±1±2)/ (±1) = ±1 and ±2. (To find the possible rational roots, you have to take all the factors of the coefficient of the 0th … orange boho dress

Nature of Roots of a Quadratic Equation: Formula, Examples

WebFor example \(\sqrt{-4}\) = 2i. So when the discriminant of a quadratic equation is less than 0, it has two roots which are distinct and complex numbers (non-real). If Discriminant is … Webtwo real and different roots; two complex roots; two real and equal roots (it means only one real root) For example, in the above example, the roots of the quadratic equation x 2 - 7x + … WebFeb 8, 2016 · Hence the roots are Imaginary. Example 4: Find the value of K such that the quadratic equation kx² – 7x + 2 = 0 has equal roots! From given equation kx² – 7x + 2=0; … iphone chnaging glass without heating gun