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What following triangle cases may have one two or zero solutions?
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Can the area of a triangle be zero?
If the area was 0, there would be no triangle.
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.
Has a shape with zero equal sides?
A scalene triangle has zero equal sides.
What is the triangle law of vectors?
If three vectors form a triangle , their vector sum is zero.
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
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.
Can the area of a triangle be zero?
If the area was 0, there would be no triangle.
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.
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.
How many diagonal lines in a triangle?
zero
How many real solutions does a quadratic equation have if its discriminant is zero?
It will then have two equal real solutions
