![]() ![]() ![]() The numerals a, b, and c are coefficients of the equation, and they represent known numbers. ![]() The right side of this equations now equals the first two terms of the quadratic equation. In algebra, a quadratic equation is any polynomial equation of the second degree with the following form: ax 2 bx c 0 where x is an unknown, a is referred to as the quadratic coefficient, b the linear coefficient, and c the constant. The number 25 is too and is now substracted from the equation. The second term inside the brackets needs to be a 5, because \( 2 \cdot x \cdot 5 \) equals \( 10x \), which is the second term of the quadratic equation. The Discriminant is used to find the number and type of solutions a quadratic equation has. It is obvious that the first term inside the brackets must be \( x \),īecause the square of the first term should be \( x^2 \), the first term in the quadratic equation. To compare the coefficients the binomial formula \( (e f)^2=e^2 2ef f^2 \) is used. \( x_ = 0,25 \)Īn example with numbers is used to show how completing the square is done. ![]()
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