for the following equation state the value of the discriminant and then describe the nature of the solution 11x^2+9x+11=0
What is the value of the discriminant?
Which one of the statements below is correct?
A. The equation has two imaginary solutions.
B. The equation has two real solutions.
C. The equation has one real solution.
The discriminant for the equation
Ax+By+C=0
is sqrt(B²-4AC)
If the quantity under the square-root sign is >0, there are two real roots. If it is zero, there is one real root, in fact, two coincident real roots. If it is negative, the equation has two imaginary roots.
Post you answer if you need a check.
-2x^2+2x+1=0 what is the discriminant?
for the following equation state the value of the discriminant and then describe the nature of the solutions 5x^2-2x+2=0
To find the value of the discriminant, we need to recall the formula for the discriminant of a quadratic equation, which is given by Δ = b^2 - 4ac. In this case, our equation is 11x^2 + 9x + 11 = 0, so we can identify a = 11, b = 9, and c = 11.
Now, let's calculate the discriminant:
Δ = (9)^2 - 4(11)(11)
= 81 - 484
= -403
The value of the discriminant is -403.
Based on the value of the discriminant, we can determine the nature of the solutions:
If Δ > 0, then the equation has two real solutions.
If Δ = 0, then the equation has one real solution.
If Δ < 0, then the equation has two complex (imaginary) solutions.
In this case, since Δ = -403 < 0, the correct statement is:
A. The equation has two imaginary solutions.