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Jordan1994
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Q4.) Quadratic equation:
\(\displaystyle \frac{-2x^2-14x-49}{x^3-7x^2}\)
\(\displaystyle \frac{-2x^2-14x-49}{x^3-7x^2}\)
A quadratic equation is a polynomial equation of the second degree, meaning it has at least one term with an exponent of 2. It can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. This form makes it easier to identify the coefficients and solve the equation using various methods.
There are several methods to solve a quadratic equation, including factoring, completing the square, and using the quadratic formula. In this equation, you can factor out a -7 to get -7(2x^2 + 2x + 7) = 0. Then, you can solve the remaining quadratic equation 2x^2 + 2x + 7 = 0 using any of the above methods.
A quadratic equation can have a maximum of two solutions, which can be real or complex numbers. The number of solutions depends on the discriminant (b^2 - 4ac), where if the discriminant is positive, there will be two real solutions, if it is zero, there will be one real solution, and if it is negative, there will be two complex solutions.
Yes, you can use a calculator to solve a quadratic equation, but it is important to understand the steps involved in solving it manually. Most scientific calculators have a built-in function to solve quadratic equations.