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How are the sum and product of the solutions of a quadratic equation related to the coefficients of the equation?
Wiki User
∙ 13y ago
If you have a quadratic, which is factored like (x - P)(x - Q) = 0, so P & Q are solutions for x. Multiplying the binomials gives:
x2 - Px - Qx + PQ = 0 ---> x2 - (P+Q)x + PQ = 0, so the negative of the sum is the coefficient of the x term, and the product is the constant term (no variable x).
Wiki User
∙ 13y ago
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How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
How the quadratic equation is applied in real situation?
Vertices in quadratic equations can be used to determine the highest price to sell a product before losing money again.
Formula of quadratic equation if roots are given?
A quadratic equation has the form: x^2 - (sum of the roots)x + product of the roots = 0 or, x^2 - (r1 + r2)x + (r1)(r2) = 0
When you factor using the Zero Product Rule the solutions to the simpler equations are also the solutions to the original equation?
True yal :)
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
What is the formula to find the product of the roots of a quadratic equation?
If the quadratic is ax2 + bx + c = 0 then the product of the roots is c/a.
What is the sum and product of roots of a quadratic equation?
the sum is -b/a and the product is c/a
The numbers which are placed in front of each reactant and product in order to balance the equation are called?
The numbers placed in front of each reactant and product to balance the equation are called coefficients. These coefficients help ensure that the number of atoms for each element is the same on both sides of the chemical equation.
What are the two numbers whose product is minus 90.5625 and sum is plus 10?
The numbers are 15.75 and -5.75 When tackling probiems like this form a quadratic equation with the information given and solving the equation will give the solutions.
How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
Why cant the zero product property be used to solve every quadratic equation?
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
Where should coefficients be place when balaning a chemical equation?
Coefficients should be placed in front of the chemical formulas in a chemical equation to balance it. They are used to ensure that the number of atoms of each element is the same on both the reactant and product sides of the equation.
Are coefficients equal in a balanced chemical equation?
No, coefficients in a balanced chemical equation represent the relative amounts of each reactant and product involved in the reaction. Coefficients can be different for each substance in the equation based on the stoichiometry of the reaction.
Why are there two solutions to quadratic equations?
In theory, a quadratic equation can be separated into two factors. For example, in the equation x2 - 5x + 6 = 0, the left part can be factored as (x-3)(x-2) = 0. For the product to be zero, any of the two factors must be zero, so if either x - 3 = 0, or x - 2 = 0, the product is also zero. This gives you the two solutions.In theory, a quadratic equation can be separated into two factors. For example, in the equation x2 - 5x + 6 = 0, the left part can be factored as (x-3)(x-2) = 0. For the product to be zero, any of the two factors must be zero, so if either x - 3 = 0, or x - 2 = 0, the product is also zero. This gives you the two solutions.In theory, a quadratic equation can be separated into two factors. For example, in the equation x2 - 5x + 6 = 0, the left part can be factored as (x-3)(x-2) = 0. For the product to be zero, any of the two factors must be zero, so if either x - 3 = 0, or x - 2 = 0, the product is also zero. This gives you the two solutions.In theory, a quadratic equation can be separated into two factors. For example, in the equation x2 - 5x + 6 = 0, the left part can be factored as (x-3)(x-2) = 0. For the product to be zero, any of the two factors must be zero, so if either x - 3 = 0, or x - 2 = 0, the product is also zero. This gives you the two solutions.
Formula of quadratic equation if roots are given?
A quadratic equation has the form: x^2 - (sum of the roots)x + product of the roots = 0 or, x^2 - (r1 + r2)x + (r1)(r2) = 0
How the quadratic equation is applied in real situation?
Vertices in quadratic equations can be used to determine the highest price to sell a product before losing money again.
What may be changed in order to balance a chemical equation?
Coefficients can be adjusted to balance a chemical equation. Coefficients are placed in front of chemical formulas to ensure that there is the same number of each type of atom on both sides of the equation. The goal is to have an equal number of atoms of each element on the reactant and product sides.
