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Q: How many real solutions can the quadratic formula give?

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The quadratic has no real solutions.

The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.

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If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.

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the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.

A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.

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Two distinct real solutions.

It will then have two equal real solutions

The quadratic equation will have two solutions.

A mathematical formula is a statement which, given all but one of a set of variables, allows you to calculate the possible value(s) of the missing variable. Many formulae will give single solutions but the quadratic formula, for example, usually has two solutions.

discriminant

imaginary

solutions

Assuming a, b, and c are real numbers, there are three possibilities for the solutions, depending on whether the discriminant - the square root part in the quadratic formula - is positive, zero, or negative:Two real solutionsOne ("double") real solutionTwo complex solutions

1.1x2 + 3.3x + 4 = 6 First rearrange the equation to equal zero so that we can use the quadratic formula. 1.1x2 + 3.3x - 2 = 0 Using the quadratic formula, the solutions are x = -3.52 and x = 0.52 Both of these solutions are real, so the original equation has two real solutions.

They each typically have two solutions, a positive one and a negative one.

0 real solutions. There are other solutions in the complex planes (with i, the imaginary number), but there are no real solutions.

There are two solutions for x: x=11 and x=-7

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It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.

The discriminant is -439 and so there are no real solutions.

There are no real solutions because the discriminant of the quadratic equation is less than zero.

A quadratic equation always has TWO (2) solutions. They may be different, the same, or non-existant as real numbers (ie they only exist as complex numbers).