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example of non quadratic equations. Quadratic Equations are useful in many other areas. As already discussed a quadratic equation has no real solutions if D 0.
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Hence the nature of the roots a and v of equation ax 2 bx c 0 depends on the quantity or expression b 2 4ac under the square root sign. Example one of a non-linear system with a cubic equation x is the cubic term. The name Quadratic comes from quad meaning square because the variable gets squared like x 2.
It may be possible to express a quadratic equation ax 2 bx c 0 as a product px qrx s 0In some cases it is possible by simple inspection to determine values of p q r and s that make.
And many questions involving time distance and speed need quadratic equations. You can identify a quadratic expression or second-degree expression because its an expression that has a variable thats squared and no variables with powers higher than 2 in any of the terms. Since x2 has no written coefficients you know that it has an implied coefficient of 1 which means a equals 1. The purpose of solving quadratic equations examples is to find out where the equation equals 0 thus finding the rootszeroes.
