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You are supposed to calculate the so-called discriminant, b2 - 4ac. If the result is positive, the equation has two real solutions; if it is zero, one real solution; if it is negative, no real solution (and two complex solutions).

For this particular equation, a = 1, b = -10, and c = 25.

Q: How many and what type of solutions does the quadratic function x2 -10x plus 25 equals 0 have?

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

A quadratic equation can have either two real solutions or no real solutions.

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

There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis

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The quadratic equation will have two solutions.

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

The quadratic has no real solutions.

A quadratic equation can have either two real solutions or no real solutions.

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

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.

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

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.

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