2 2 points Determine the character of the roots of the following equation using the Discriminant:...
In Python. The two roots of a quadratic equation ax^2 + bx + c = 0 can be obtained using the following formula: r1 = (-b + sqrt(b^2 - 4ac) / (2a) and r2 = (-b - sqrt(b^2 - 4ac) / (2a) b^2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no...
For the following equation, state the value of the discriminant and the number of real solutions -6x2 -2x+3-0 The value of the discriminant isSimplify your answer)
This is in python language
Algebra: solve quadratic equations) The two roots of a quadratic equation, for example, 0, can be obtained using the following fomula: b 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and cand...
The roots of the quadratic equation ax2 + bx + c = 0, a following formula: 0 are given by the In this formula, the term i2 - 4ac is called the discriminant. If b4ac 0 then the equation has a single (repeated) root. If -4ac > 0, th equation complex roots. Write a program that prompts the user to input the value of a (the coefficient of ), b (the coefficient of x), and c (the n has two...
a) For the following ODEs, find roots λ of their characteristics equation and determine the type of damping (overdamped, undamped, underdamped, critically damped). For undamped and underdamped cases, find their angular frequency and period (14 points)i) y''+6 y'+10 y=0ii) 4 y''+8 y'+3 y=0iii) y''+8 y'+16 y=0b) Find the general solution for the following ODE 16 y''+8 y'+y=0(6 points)c) Find the particular solution of b) if y(0)=2 and y'(0)=2.5 .(5 points)
C++ The roots of the quadratic equation ax² + bx + c = 0, a ≠ 0 are given by the following formula: In this formula, the term b² - 4ac is called the discriminant. If b² - 4ac = 0, then the equation has a single (repeated) root. If b² - 4ac > 0, the equation has two real roots. If b² - 4ac < 0, the equation has two complex roots. Instructions Write a program that prompts the...
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Use the discriminant to determine the number of intercepts with the x-axis for each of the following: a. y = 2x2 + 20x + 50 b. y = 3x - 7x +2 c. y = 4x? -x +7 2 For the equation (2m - 1)x2 + m - 3x - 2 = 0, find m such that: a. One root is 2: b. The roots are ta; c. The roots are ß...
Java Programming Question. I am writing a code to calculate the roots of the quadratic equation based on the values of the coefficients A, B, and C. I am supposed to enter 5 values for each coefficient, and the output should be five different answers (see example) using a for loop and if else statements. However, when I run my code, I am only able to enter one value for each coefficient and the output is one answer repeated five...
For the following, find the discriminant, and then determine
whether one real-number solution, two different real-number
solutions, or two different imaginary number solutions
exist.
For the following, find the discriminant, b-4ac, and then determine whether one real-number solution, two different real-number solutions, or two different imaginary number solutions exist. x2+2x+7 0 What is the discriminant, b2-4ac? (Simplify your answer.) What is the nature of the solution(s)? O A. There are two different imaginary-number solutions. O B. There are two different...
Compute the discriminant. Then determine the number and type of solutions for the given equation. x2 - 4x + 3 = 0 0; one real solution -28; no real solution 4; one real solution 4; two unequal real solutions