What is the factor of x2 81?

What is the factor of x2 81?

Rewrite 81 as 92 . 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=9 .

What is the solution of formula?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.

How many real solutions does the equation x2?

two solutions
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.

How do you find the solution of each equation?

Determine whether a number is a solution to an equation.

1. Substitute the number for the variable in the equation.
2. Simplify the expressions on both sides of the equation.
3. Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

What is x2 Plus x2?

Answer: x squared plus x squared is 2×2.

What is x²?

What is x squared? i.e., x squared equals x multiplied by itself. In algebra, x multiplied by x can be written as x×x x × x (or) x⋅x x ⋅ x (or) xx (or) x(x) x squared symbol is x2 .

How do you find solutions?

What are the solutions to the equation x2 6x 40?

The solutions to the equation x2 + 6x = 40 are -10, 4.

What are all the square roots of 81?

Explanation: 81=9⋅9 then the square root of √81=9 . Because the double multiplication for the same sign is always positive, the square root is also valid with the other sign 81=(−9)⋅(−9) then √81=−9 and we can say that √81=±9 . What if we do not know the value?

How many solutions does each equation have?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

How to solve X^2=81 X2 = 81?

Solve Using the Square Root Property x^2=81 x2 = 81 x 2 = 81 Take the square root of both sides of the equation to eliminate the exponent on the left side. x = ±√81 x = ± 81

What is the easiest way to simplify X2?

Simplifying x 2 = 81 Solving x 2 = 81 Solving for variable ‘x’. Move all terms containing x to the left, all other terms to the right. Simplifying x 2 = 81 Take the square root of each side: x = {-9, 9}

How do you solve X 2 – 8 1?

Consider x 2 − 8 1. Rewrite x 2 − 8 1 as x 2 − 9 2. The difference of squares can be factored using the rule: a 2 − b 2 = ( a − b) ( a + b). To find equation solutions, solve x-9=0 and x+9=0.

How do you solve a Radical 81 with a complete solution?

Rewrite 81 81 as 9 2 9 2. Pull terms out from under the radical, assuming positive real numbers. The complete solution is the result of both the positive and negative portions of the solution. Tap for more steps… First, use the positive value of the ± ± to find the first solution.