What are real solutions examples?
For example, in the quadratic equation 4×2 + 26x + 12 = 0, its discriminant is equals to b2 − 4ac = (26)2 − 4(4)(12) = 484 which is positive and so the equation has two real solutions. If the discriminant is zero, then there is exactly one real solution.
What are two real rational solutions?
If the discriminant is a positive number, then there are 2 real solutions. This means that the graph of the parabola interepts the x-axis at 2 distinct points . If the discriminant is positive and also a perfect square like 64, then there are 2 real rational solutions.
What are rational solutions?
A rational solution will be a solution that is a rational number. That is, the number will be of the form pq, where p,q∈Z,q≠0.
What is a two real solution in quadratic equation?
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
What equation has two solutions?
A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions.
What are real solutions in quadratic equations?
A quadratic equation does not always have a real solution. However, a quadratic equation always has a solution if we consider complex/imaginary numbers. In terms of real solutions, there are always either 0, 1, or 2 real solutions to a quadratic equation, depending on the sign of the discriminant.
Which equation has two real solutions Why?
A quadratic equation with real or complex coefficients has two solutions, called roots.
Why does a quadratic equation have 2 solutions?
A quadratic expression can be written as the product of two linear factors and each factor can be equated to zero, So there exist two solution.