On the basis of the discriminant value, there are three conclusions- IfD>0, then the roots are real and distinct. IfD=0, the equation has only one real root. IfD<0, then the roots are imaginary. Answer and Explanation:1 The given quadratic equation; ...
Solution: So, roots are real and distinct, then m2−4×4×1<0⇒m2<16⇒−4<m<4 So, m∈(−4,4) Conclusion Here we have tried to discuss the Quadratic equation, both algebraically and geometrically. Both will be useful in solving problems faster and efficiently. The formulas for...
than zero else { // roots are complex number and distinct double real = -b / (2 * a); double imaginary = Math.sqrt(-discriminant) / (2 * a); System.out.format("root1 = %.2f+%.2fi", real, imaginary); System.out.format("\nroot2 = %.2f-%.2fi", real, imaginary); } }...
7(a)Sketch the graph o f any cubic function that has both three distinct real roots and a positive coefficient o f x3[2 marks]少个X7(b)The function f(x) is defined by f (x)=x^3+3px^2+q where p and q are constants and p 07(b)(i) Show that there is a turning point where...
Real Part = -b / (2.0 * a) Imaginary Part = Real Part Otherwise, if both the condition are false, then execute another else if condition statement. Check the value of ‘disc’ variable is greater than 0. If the condition is true, then the roots are real and distinct. Execute the st...
题目 If both the roots of the quadratic equation $$ x ^ { 2 } $$-mx+4=0 are real and distinct and they lie in the interval [1,5], then m lies in the interval: A (-5,-4)Correct Answer B (4,5) C (5,6) D (3,4) 相关知识点: 试题来源: 解析 B 反馈 收藏 ...
Classroom Tips and Techniques: Real Distinct Roots of a CubicRobert Lopez
Her affection for him is deeply rooted.她对他的爱是坚定不移的。root [ru:t]vi.(植物、插枝等)生根 (人)站立不动; 固定 根源在于; 来源于 Some cuttings root easily.有些插枝易于生根。Are you going to root here forever?你留在这儿永远不走了吗?root-cancer n.根癌 root-cap n.根冠...
Th e number of distinct real roots of th e equation.$$ | \begin{matrix} \cos x \boxed \sin x \boxed \sin x \\ \sin x \boxed \cos x \boxed \sin x \\ \sin x \boxed \sin x \boxed \cos x \end{matrix} | = 0 \boxed i n t h e m t e r v a l \left[ - \frac...
Write a Python script to prompt the user for quadratic coefficients, then output the nature of the roots (real and distinct, real and equal, or complex) along with the computed values. Write a Python program to compare the roots of two quadratic equations and print which one has the larger...