WebApr 9, 2024 · To find them, use the quadratic formula: X = \[\frac{-b\pm \sqrt{D}}{2a}\] Although we cannot discover the roots using the discriminant alone, we can determine the nature of the roots in the following way. If discriminant is positive: There are two real roots to the quadratic equation if. D > 0. This is because the roots of D > 0 are provided ... WebMar 29, 2024 · Transcript. Example 16 Find the discriminant of the quadratic equation 2x2 4x + 3 = 0, and hence find the nature of its roots. 2x2 4x + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = 4, c = 3 We know that D = b2 4ac D = ( 4)2 4 (2) (3) D = 16 24 D = 8 Since D <0 So, the given equation has no real roots .
Nature of Roots of Quadratic Equation Real and …
WebJan 24, 2024 · For example, consider the quadratic equation \ ( {x^2} – 7x + 12 = 0.\) Since the discriminant is greater than zero \ ( {x^2} – 7x + 12 = 0\) has two distinct real roots. … WebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... floormix b550
Ex 4.4, 1 (i) Class 10 - Find the nature of the roots of quadratic
WebIf a and b are the roots of the equation x 2−1=0 the form of quadratic equation whose roots are 2a and 2b will be-. Medium. View solution. >. View more. WebFeb 10, 2024 · Discriminant is greater than zero, so the roots are unequal and real. Step-by-step explanation: We use discriminant to find the nature of the roots. discriminant formula is, b^2 - 4ac. 13^2 (-4) × 4 × 6 = 169 - 96 73 >0 if discriminant greater than 0 that means the roots are real and unequal. WebApr 8, 2024 · The roots of the Quadratic equation is the value of an unknown factor of the equation. For Example, if ax + bx² + c =0 then the root of the quadratic equation will be the value of x. Following are some methods that can be used for finding roots of Quadratic Equations: Factorization method. Quadratic Formula method. Completing the square … floor mirror with jewelry armoire