That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions.
If the discriminant is less than zero then the quadratic equation will have no solutions.
The formula for the area of a circle is correctly paired with its name as ( A = \pi r^2 ), where ( A ) represents the area and ( r ) is the radius of the circle. Another example is the quadratic formula, given by ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), which provides solutions for the equation ( ax^2 + bx + c = 0 ). These pairings accurately reflect the mathematical concepts they represent.
The Sridharacharya formula, also known as the quadratic formula, provides a solution for quadratic equations of the form ( ax^2 + bx + c = 0 ). It states that the roots of the equation can be found using the formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). This formula allows for the calculation of both real and complex roots depending on the value of the discriminant ( (b^2 - 4ac) ). It is named after the ancient Indian mathematician Brahmagupta, who contributed to its development.
The chemical formula (not equation) of propanal is CH3CH3CHO.
KClO is the chemical formula (not equation) of potassium hypochlorite.
No. A formula is not the same as an equation.In mathematics:A formula shows a relationship or rule expressed, usually symbolically.An equation shows the equality of separate expressions.In chemistry:A formula symbolically shows the component atoms, and their relative numbers, in a molecule of a substance.An equation symbolically indicates the progress of a chemical reaction.
This formula is called the quadratic formula.
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
To find the roots (solutions) of a quadratic equation.
The two solutions are coincident.
A quadratic equation can have either two real solutions or no real solutions.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
I suggest you use the quadratic formula.
It is a quadratic equation and its solutions can be found by using the quadratic equation formula.
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
To find the solutions of x in a quadratic equation.
the formula you are going to use to answer the equation