\( - b \pm \sqrt { ( b ^ { 2 } - 4 a c ) } \)
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Mind Expander
Did you know that this formula is known as the Quadratic Formula? It’s like the Swiss Army knife of algebra! Whenever you find yourself with a quadratic equation in the form \( ax^2 + bx + c = 0 \), just plug in your values for \( a \), \( b \), and \( c \) into this formula to find your solutions for \( x \). It’s a handy tool used in a wide variety of fields, from engineering to finance! As you use the quadratic formula, watch out for a common mistake: forgetting to distinguish between real and complex solutions. If the discriminant (the part under the square root, \( b^2 - 4ac \)) is negative, you’ll end up with complex numbers. Instead of panicking, embrace those imaginary solutions! They’re just as valid in the wonderful world of mathematics.