How many real solutions does the equation x 2 x 1 have?

How many real solutions does the equation x 2 x 1 have?

Solve Quadratic Equation using the Quadratic Formula 4.3 Solving x2+2x+1 = 0 by the Quadratic Formula . This quadratic equation has one solution only.

Does x2 have a solution?

In general, all equations of the form x2 = a, where a is a positive number, will always give two solutions, namely x = – / a or x = / a.

What is the discriminant of x2 x 1?

Now, according to the equation given to us, we have,a = 1, b = -1 and c = 1. Therefore, the discriminant of the equation is -3.

Is x2 quadratic?

x2 = 0 is a quadratic equation, so its set of solutions in the plane is a conic. The only number whose square is 0 is 0 itself, so if x2 = 0, then x = 0. Thus, the set of solutions of x2 = 0 are those points in the plane whose x- coordinates equal 0.

How many solutions does the equation x?

Sample Problems The equation x = x has infinitely many solutions: any value of x will work, since x is always equal to itself. The equation y2 = -5 has no real number solutions because the square of any real number is positive.

What is the first step in solving the quadratic equation x2?

take the square root of both sides of the equation. add 9/16 to both sides of the equation. square both sides of the equation.

What are two real solutions?

The value under the radical sign, b2 4ac, is called the discriminant….

What is x2 in math?

x squared is a notation that is used to represent the expression x×x x × x . i.e., x squared equals x multiplied by itself.