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In general how many distinct solutions are there to a quadratic equation?
Wiki User
∙ 16y ago
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
Wiki User
∙ 16y ago
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What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
What is the general equation for quadratics?
The general quadratic equation is ax2 + bx + c = 0 The two solutions are: x = [ (negative b) plus or minus the square root of (b2 - 4ac) ] all divided by (2a).
What happens when A changes in the equation ax2 Bx c?
If you mean: ax2+bx+c = 0 which is the general form of a quadratic equation whereas a is > 0 and any increases to the value of a will effect the solutions of the equation.
Where quadratic equation is applicable?
A quadratic equation in its general form of ax2+bx+c = 0 whereas 'a' is equal or greater than 1 is applicable when finding the unknown variable of x by using the quadratic equation formula.
What is the general form of a quadratic equation?
ax2 + bx + c = 0
What is a x squared plus b x plus c equals 0 in C programming?
ax2+bx+c = 0 is the general form of a quadratic equation which normally has two solutions
What is the significance of this equation ax2 plus bx plus c equals 0?
It is the general form of a quadratic equation.
What determines whether the graph of the quadratic function will open upward or downward?
The slope of your quadratic equation in general form or standard form.
How do you create DFD for solving general quadratic equation?
bhoosde ke ans to de
What are the first four steps in the derivation of the quadratic formula of ax2 plus bx plus c equals 0?
The first step is to show an example of the quadratic equation in question because the formula given is only the general form of a quadratic equation.
What are the steps to solving a quadratic equation?
In general, there are two steps in solving a given quadratic equation in standard form ax^2 + bx + c = 0. If a = 1, the process is much simpler. The first step is making sure that the equation can be factored? How? In general, it is hard to know in advance if a quadratic equation is factorable. I suggest that you use first the new Diagonal Sum Method to solve the equation. It is fast and convenient and can directly give the 2 roots in the form of 2 fractions. without having to factor the equation. If this method fails, then you can conclude that the equation is not factorable, and consequently, the quadratic formula must be used. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009) The second step is solving the equation by the quadratic formula. This book also introduces a new improved quadratic formula, that is easier to remember by relating the formula to the x-intercepts with the parabola graph of the quadratic function.
How to solve -3r2 plus 21r plus 24 equals?
OK, this looks like a quadratic equation, which means a polynomial whose highest power is two:-3r^2 + 21r + 24 = 0The general form for a quadratic equation isax^2 + bx + c = 0and the general solution is given by the quadratic formula:x = [ -b +- sqrt(b^2 - 4ac) ] / 2aBecause a quadratic equation is second order, it has two solutions, or roots. The +- symbol means to use the "+" sign first, and then use the "-" sign. It is read as "plus or minus."So, if we replace the x with your r, and the coefficients, a, b, c, with the ones from your equation, we get for a solution:r = [-21 +- sqrt(21^2 - 4 * -3 * 24) ] / 2 * -3When you do the arithmetic using the "+" sign, you get -1 for the first root, and using the "-" sign you get 8 for the second root.So, the solutions are -1 and 8, which you can verify by plugging either of these into the original equation.
