What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2?
A quadratic equation is in the form of ax2 + bx + c = 0. We can calculate the roots of the quadratic equation using Cuemath's quadratic equation root calculator.
Answer: The value of the discriminant for the quadratic equation 0 = x + 2 + x2 is - 7.
Let's understand the solution in detail.
Explanation:
A discriminant of quadratic equation is a function of the coefficients of the polynomials. We can write the equation in the standard form ax2 + bx + c = 0, that is, x2 + x + 2 = 0.
Here, a = coefficient of x2, b = coefficient of x and c = constant term.
⇒ b2 - 4ac = (1) 2 - 4 × (1) × (2)
⇒ 1 - 8
⇒ - 7 < 0
Since the value of the discriminant is negative, this means the equation has no real roots.
Check out the online discriminant calculator.