- #1
Albert1
- 1,221
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$if$ $ h+k=2016$
and all roots of $ x^2+hx+k=0$ are both integers
find its solutions
and all roots of $ x^2+hx+k=0$ are both integers
find its solutions
Albert said:$if$ $ h+k=2016$
and all roots of $ x^2+hx+k=0$ are both integers
find its solutions
In mathematics, "f(x)=0" refers to an equation where the function f has an input, represented by the variable x, that results in an output of 0. This is also known as finding the root or solution of the equation.
To find the solution of f(x)=0, you can use various methods such as algebraic manipulation, graphing, or numerical approximation. The most common method is to use algebraic manipulation to isolate the variable x and solve for its value.
Yes, there can be more than one solution to f(x)=0, depending on the complexity of the equation. For example, a quadratic equation can have two solutions, while a cubic equation can have three solutions. These solutions can be real or complex numbers.
Yes, it is possible for f(x)=0 to have no solution. This means that there is no value of x that can make the equation true. In other words, the graph of the equation does not intersect the x-axis.
Finding the solution of f(x)=0 is a fundamental concept in mathematics and has various real-world applications. It is used in engineering, economics, and science to solve problems and make predictions. For example, it can be used to find the break-even point in business or to determine the optimal dosage of a medication.