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What triangle cases may have one two or zero solutions?
In triangle cases, one solution occurs in the "SSA" (Side-Side-Angle) scenario when the given side opposite the angle is longer than the other given side. Two solutions arise in the same SSA case when the angle is acute and the opposite side is shorter than the other given side, allowing for two possible triangles. Zero solutions occur in SSA when the side opposite the angle is shorter than the height from the other given side, making it impossible to form a triangle.
Can the area of a triangle be zero?
If the area was 0, there would be no triangle.
How many solutions are possible in a triangle of type SSA?
In a triangle with two sides and a non-included angle known (SSA), the number of possible solutions can vary. There can be zero, one, or two possible triangles depending on the specific measurements. If the angle is acute and the opposite side is shorter than the adjacent side, there could be two solutions. If the opposite side is equal to or longer than the adjacent side, there may be one solution, or none if the conditions do not allow for a triangle to be formed.
How do you find quadratic equation with only 2 solutions?
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
Why do we substitute zero for the value of y when finding the solutions of quadratic equations?
Because the solutions are found on the x axis when y is zero.
What triangle cases may have one two or zero solutions?
In triangle cases, one solution occurs in the "SSA" (Side-Side-Angle) scenario when the given side opposite the angle is longer than the other given side. Two solutions arise in the same SSA case when the angle is acute and the opposite side is shorter than the other given side, allowing for two possible triangles. Zero solutions occur in SSA when the side opposite the angle is shorter than the height from the other given side, making it impossible to form a triangle.
Which of the following systems of equations has no solution?
If they are quadratic equations then if their discriminant is less than zero then they have no solutions
Can the area of a triangle be zero?
If the area was 0, there would be no triangle.
If the discriminant is zero the equation has solutions?
It has 2 equal solutions
What is the discriminant of the polynomial below?
That depends on the values of the polynomial but in general:- If the discriminant is greater than zero it has 2 solutions If the discriminant is equal to zero then it has 2 equal solutions If the discriminant is less than zero it has no solutions
Why are there usually two solutions in quadratic equations and when do they only have one solution?
If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.
How do you find quadratic equation with only 2 solutions?
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
Why do we substitute zero for the value of y when finding the solutions of quadratic equations?
Because the solutions are found on the x axis when y is zero.
Do all rational equations have solutions?
No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.
What scale of zero to 14?
The scale of zero to 14 is typically used to measure pH levels, with zero representing highly acidic solutions, seven representing neutral solutions, and 14 representing highly basic solutions.
If the discriminant is zero then there are no imaginary solutions?
Yes, if the discriminant is zero, then there will be a double root, which will be real.Also, If the discriminant is positive, there will be two distinct real solutions. But if the discriminant is negative, then you will have two complex solutions.
Has a shape with zero equal sides?
A scalene triangle has zero equal sides.
