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A quadratic equation in standard form is based on the model:

ax2 + bx + c = 0

a, b, and c are called the coefficients. "Real coefficients" simply means that a, b, and c are real numbers (as opposed to complex numbers). For example:

5x2 - 3x +2 = 0

... has real coefficients, while

(3-2i)x2 + (-2 + 4i)x + (4 + 3i) = 0

does not.

Q: What is a quadratic equation with real coefficents?

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

If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.

If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.

You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development.

Quadratics can two, one or no real roots.

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The quadratic has no real solutions.

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

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

If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.

Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you

If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.

You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development.

It has one real solution.

Quadratics can two, one or no real roots.

If the discriminant of a quadratic equation is less than zero then it will not have any real roots.

Quadratic equation

It will then have two equal real solutions