What are the x2 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.

What are the solutions of x2 5x 2?

The exact solutions of x2 = 5x + 2 are x = {5 ± √33} / 2.

What is the best method to be used in solving quadratic equation x² 5x 8 0?

Solve Quadratic Equation by Completing The Square

2.2 Solving x2+5x-8 = 0 by Completing The Square .

What number should be added to both sides of the equation to complete the square x2 3x 6 3 62?

Summary: 9/4 should be added to both sides of the equation to complete the square x2 + 3x = 6.

What are the correct factors of x2 5x+?

Given equation

Factoring polynomials by splitting the middle term: We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6. Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

What method would you choose to solve the equation 2×2 7/9 explain why you chose this method?

The factoring method can be chosen to solve the equation 2x2 – 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtain the values.

What number should be added to both sides x2 6x 5?

9
The number that should be added to both sides of the equation to complete the square (x2 – 6x = 5) is 9.

Which are the solutions of the quadratic equation x2 7x 4?

Summary: The solution of the quadratic equation x2 = 7x + 4 is x = [7 ± √65]/2.

How did you find the solution of the equation?

The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true. … We say 5 is a solution to the equation x+2=7 x + 2 = 7 because when we substitute 5 for x the resulting statement is true.

What should be added to both sides of equation x2 2x 5 so that the LHS becomes a complete square?

Take half of the coefficient of x and square it. That is the number that should be added to both sides.

What is the first step in solving the quadratic equation 8 133?

Adding 8 to both sides of the equation. Summary: The first step in solving the quadratic equation -5x2 + 8 = 133 is to subtract 8 from both sides of the equation.

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

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

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.

What are real solutions?

In chemistry, a real solution is a homogeneous mixture of at least two chemical substances. A “real” solution differs from a colloidal solution (colloid). According to the concentration of the solute, a distinction is made between hypotonic solution, saturated solution, unsaturated solution.

What are all real solutions?

Frequently, in Algebra class, you will be called to find all “real solutions” of an equation. … Simplify the equation as much as possible. For instance, if given the equation x4 + x2 – 6 = 0, you can use a u-substitution to simplify and then factor. If x2=u, then the equation becomes u2+u-6=0.

Is 0 a real solution?

0 is a root, a solution, or a “zero”. Because 0 is a real number, we can call it a real root, a real solution, or a real zero.

How many real solutions are there?

2 real solutions
It determines the number and the type of solutions that a quadratic equation has. If the discriminant is positive, there are 2 real solutions. If it is 0 , there is 1 real repeated solution. If the discriminant is negative, there are 2 complex solutions (but no real solutions).

Which equation has only one solution?

An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect.

How many solutions does quadratic equation have?

2 solutions
As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

What are real solutions in algebra?

REAL SOLUTIONS means that expressions which have some real values OR. Solution containing real values are called real solutions. Ex- 1,2,10,100 etc. Non real solutions means that the solutions containing non- real values like √2,√3 etc.