Use the discriminant to determine the number of real solutions of x2+10x=−21
.(1 point)
blank real solution(s)
The given equation is x^2 + 10x = -21.
To find the discriminant, we use the formula D = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 1, b = 10, and c = -21.
Therefore, the discriminant is D = (10)^2 - 4(1)(-21) = 100 + 84 = 184.
Since the discriminant is positive, 184 > 0, there are two distinct real solutions.