The principal of Square Roots

The principal of Square Roots

The quadratic equation

5x2 + 8x – 2 = 0

is said to be in standard form. The quadratic equation

5x2 = 2 – 8x

Is equivalent to the preceding, but it is not in standard form.

Quadratic Equation

An  equation of the type ax2 + bx + c = 0, where a, b, and c are real-number constants and a > 0, is called the standard form of a quadratic equation.

 

The Principle of Square Roots

The solutions of the equation x = d are \sqrt{d} and –\sqrt{d}.

When d > 0, the solutions are two real numbers.

When d = 0, the only solution is 0.

When d < 0, the solutions are two imaginary numbers.

 

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