Question

X²+40x-100=0найти дискриминант

Answer 1

D=b2-4ac
D=1600+4*1*100=1600+400=2000

Answer 2

A=1 b=40 c=-100
D=b^2-4ac
D=1600-4*100=1600-400=1200

Answer 3

Finding the Discriminant of the Quadratic Equation

To find the discriminant of the quadratic equation x² + 40x - 100 = 0, we can use the formula:

Discriminant (D) = b² - 4ac

Where: - a is the coefficient of x², - b is the coefficient of x, and - c is the constant term.

Calculating the Discriminant

Using the given quadratic equation x² + 40x - 100 = 0: - a = 1 - b = 40 - c = -100

Now, we can calculate the discriminant using the formula: D = b² - 4ac

Substitute the values of a, b, and c into the formula: D = 40² - 4(1)(-100)

Result

After calculating, the discriminant (D) of the quadratic equation x² + 40x - 100 = 0 is: D = 40² - 4(1)(-100) = 1600 + 400 = 2000

Therefore, the discriminant of the given quadratic equation is 2000.