To see this, we set b 2 −4ac = 0 in the quadratic formula to get, Notice that is the x-coordinate of the vertex of a parabola.

a= 1. b= k. c=4 If the discriminant of a quadratic function is equal to zero, that function has exactly one real root and crosses the x-axis at a single point. Active 2 years, 5 months ago. You find this out by using the discriminant. If the curve has no stationary points then f has only one real root. Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … So in your case. 2 x + cos x = 0 Buy Find arrow_forward

While an imaginary root given as (i) is sqrt (-1), a complex number is a combination of a real number and an imaginary number like (3+4i). ax^2+bx+c. Maybe you’ve seen online guides and other root programs that claim to be “one click.” We can assure you: we’ve tested all of these programs and will put ours against any of them. One Click … if b² − 4ac < 0 No Real roots. Calculus Calculus: Early Transcendentals Show that the equation has exactly one real root. 2 x + cos x = 0 Show that the equation has exactly one real root. if b² − 4ac = 0 One Real root. You could find stationary the points (if any exist at all) and show using the geometry of the curve that the configuration of the stationary points mean that the curve can only intersect the x axis once. Remember that a quadratic is int he form . When one needs to find the roots of an equation, such as for a quadratic equation, one can use the discriminant to see if the roots are real, imaginary, rational or irrational. Ask Question Asked 2 years, 5 months ago. b^2 – 4ac . if b² − 4ac > 0 Two Real roots. Viewed 2k times 5. Still not convinced why you should use One Click Root to root your Android phone, tablet or e-reader? Case 2: One Real Root. One real root refers to the root of the quadratic been a real number as supposed to a complex number. Proving the presence of one real root.

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