What are the solutions of the equation x2?

Since the square of a positive or negative number are always positive, this equation has two solutions, namely x = -4 or x = 4. 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 x2 equation?

Recall that a linear equation in one variable is of the form ax+b=0, where a and b are constants and a≠0. A quadratic equation has an x2 (x-squared) term. (“Quadratum” is Latin for square.)

How do you square x2?

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

What method of solving quadratic is x2 K?

The best method of solving the quadratic equation x2 = k is called A Completing the square. C.

What expression is equivalent to x2 16?

(X+2)(X-8) 2.

How many solutions does X X 2 )= 0 have?

The square of any real number is always positive therefore there are no real number solutions to this problem.

Is x2 a quadratic equation?

y = x2 is a quadratic equation. It’s equivalent to y – x2 = 0, and y – x2 is a quadratic polynomial. xy = 1 is a quadratic equation. It’s equivalent to the quadratic equation xy – 1 = 0.

What are the roots of quadratic equation x2 9?

Solving Quadratics Using Square Roots One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored: (x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3.

What is the perfect square formula?

The perfect square formula is represented in form of two terms such as (a + b)2 . The expansion of the perfect square formula is expressed as (a + b)2 = a2 + 2ab + b2.

What are the properties of quadratic equations in the form x2 K?

An equation having the form x2 = k has two solutions, written symbolically as /k and – /k. This first strategy only applies to quadratic equations in a very special form. In particular, the x2 term is by itself on one side of the equation, and the other side has no variable terms.

What is the best method to solve the roots of the quadratic equation?

Completing the square is a method that may be used for any quadratic equation. By adjusting your constant (c), you can create a perfect square on the left side of the equation. A perfect square can be factored into two identical binomials, which you can use to solve for any valid values of x.

What is a common factor of x2 9 and x2 5x 6?

So we factorize as follows: Thus we have, We get the factor (x — 3) common in both the polynomials, thus (x — 3) is the highest common factor 😀. Thus the HCF of x^2 — 9 and x^2 — 5x + 6 (^2 means squared) is (x — 3).

Is x2 16 a perfect square?

Algebra Examples Rewrite 16 as 42 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=x and b=4 .

How many solutions does X X 2 have?

X^2=n in the set of real numbers it has infinitely many solutions for assuming n positive or zero x=sqrt(n) and for a positive or zero n the function x=sqrt(n) is unbounded. So the range is [0,infinity[ which means infinite number of solutions.

Is the equation 2x 6x 1 0 A quadratic?

For this reason we want to be able to find the coordinates of the vertex. 3.2 Solving 2×2-6x-1 = 0 by Completing The Square . The Square Root Principle says that When two things are equal, their square roots are equal. 3.3 Solving 2×2-6x-1 = 0 by the Quadratic Formula .