What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?
A polynomial equation in which the highest degree is two is termed as a quadratic equation.
Answer: The value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16.
Let's understand the solution in detail.
The given equation –3 = –x2 + 2x can be written in the standard form as x2 - 2x - 3 = 0
Now, the equation is of the form ax2 + bx + c.
The discriminant of the above general equation can be found by using the formula; D = b2 - 4ac.
Here, we have a = 1, b = -2 and c = -3.
Therefore, the discriminant of the above equation D = (-2)2 - 4(1)(-3) = 16