A _____ equation can be written in the form ax^2+bx+c=0 where a, b, and c are real numbers, and a is a nonzero number.
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The equation you mentioned is called a quadratic equation. It is commonly written in the form ax^2 + bx + c = 0. To solve for x in a quadratic equation, there are different methods you can use. One common approach is using the quadratic formula. The quadratic formula states that for any quadratic equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / 2a
To solve the equation, you substitute the values of a, b, and c into the formula and perform the necessary calculations to find the values of x.
Another method for solving quadratic equations is by factoring. If you can factor the quadratic equation into two binomial terms, then you can set each factor equal to zero and solve for x individually.
Lastly, if factoring is not possible or if the coefficients are large, you can use the method of completing the square. This involves manipulating the equation to create a perfect square trinomial, which can then be easily solved.
Remember to be cautious and pay attention to the instructions and constraints given in the test. Practice solving different examples of quadratic equations to gain confidence and improve your skills.