Question

# Solve the radical equation

Hint:

### Rearrange the equation and then solve for x.

## The correct answer is: ⇒ x = 6

### Complete step by step solution:

Here given equation is

On rearranging the equation, we have

On squaring both the sides, we have

### Related Questions to study

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A second-degree quadratic equation is an algebraic equation in x. **Ax² + bx + c = 0**, where 'x' is the variable, 'a' and 'b' are the coefficients, and 'c' is the constant term, is the quadratic equation in its standard form. A non-zero term (a ≠ 0) for the coefficient of x² is a prerequisite for an equation to be a quadratic equation. The x² term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of a, b, and c are not expressed as decimals or fractions but are written as integral values. There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are referred to as the quadratic equations' roots and are given the designations (α, β). There are several ways to present the quadratic equations: (x - 1)(x + 2) = 0, 5x(x + 3) = 12x, x³ = x(x² + x - 3), where -x²= -3x + 1. Before carrying out any additional procedures, these equations are to be translated into the quadratic equation's standard form.

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Variable costs are expenses that varies in proportion to the number of goods or services produced by a company. In other words, they are costs that vary with the amount of activity. As a result, the costs rise as the volume of activities rises and fall as the volume of activities falls.**Total Variable Cost = Total Output Quantity x Variable Cost Per Unit Output.**

A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.**Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)**

To find the total cost,**Total cost= Fixed cost + Variable cost**

### Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $ 500 plus $25 for each guest. Company B charges a set up fee of $200 plus $ 30 per guest

a) Write expression that you can use to determine the amount each company charges for g guests .

b) Jamie learns that the $ 500 set up fee for company A includes payment for 20 guests. The $25 per guests charge is for every guest over the first 20.If there will be 50 guests , which company will cost the least ? Explain.

In this question, the answer is to find out with the help of the fixed cost and variable cost formulas. So let's first understand what variable and fixed costs mean and the formula to calculate costs.

Variable costs are expenses that varies in proportion to the number of goods or services produced by a company. In other words, they are costs that vary with the amount of activity. As a result, the costs rise as the volume of activities rises and fall as the volume of activities falls.**Total Variable Cost = Total Output Quantity x Variable Cost Per Unit Output.**

A fixed cost is any business expense that does not change in response to production or sales. Fixed costs are also known as indirect costs or overhead. Fixed costs cannot be changed to reduce expenses. Instead, they typically rely on an outside entity, such as a landlord or bank. Fixed costs include rent, insurance, and labor costs.**Fixed cost = Total cost of production - (No. of units produced x Variable cost per unit)**

To find the total cost,**Total cost= Fixed cost + Variable cost**