A quadratic equation can have either two real solutions or no real solutions.
It will then have two equal real solutions
There are two distinct real solutions.
Two distinct real solutions.
If the discriminant > 0 then 2 distinct real solutions.If the discriminant = 0 then 1 double real solution.If the discriminant < 0 then no real solutions (though there are two complex solutions).
A quadratic equation can have either two real solutions or no real solutions.
The quadratic has no real solutions.
It will then have two equal real solutions
There are two distinct real solutions.
0 real solutions. There are other solutions in the complex planes (with i, the imaginary number), but there are no real solutions.
Two distinct real solutions.
If the discriminant > 0 then 2 distinct real solutions.If the discriminant = 0 then 1 double real solution.If the discriminant < 0 then no real solutions (though there are two complex solutions).
There are no real solutions. The discriminant (b squared -4ac) is less than 0, so there are 2 imaginary solutions and 0 real ones.
If the discriminant is positive, as in this case, there are two real solutions.Also: * If the discriminant is zero, there is one real solution, considered to be a "double solution" because of the way polynomials are factored. * If the discriminant is negative, there are two complex solutions, which are complex and non-real.
It has 2 real solutions because the discriminant is greater than zero.
A cubic has from 1 to 3 real solutions. The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem. The discriminant of the equation tells you how many roots there are.
Two real roots.