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

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Two distinct real solutions.

discriminant

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

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

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

Related questions

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.

2

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

2

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.

2

It will then have two equal real solutions

Two distinct real 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.

The quadratic equation will have two solutions.

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