Use the discriminant to determine the number of real solutions of −6x2−108=0 . Which of the following statements gives the correct explanation?(1 point) Responses There will be no real solutions since the discriminant is negative. There will be no real solutions since the discriminant is negative. There will be no real solutions since the discriminant is zero. There will be no real solutions since the discriminant is zero. There will be one real solution since the discriminant is zero. There will be one real solution since the discriminant is zero. There will be two real solutions since the discriminant is positive.
The correct statement is: "There will be two real solutions since the discriminant is positive."
The discriminant is found by using the formula Δ = b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation.
In this case, a = -6, b = 0, and c = -108.
Substituting the values into the formula, we get Δ = 0^2 - 4(-6)(-108) = 0 - 2592 = 2592.
Since the discriminant is positive (greater than zero), there will be two real solutions to the quadratic equation.