Question
Solve the radical equation 
Hint:
Rearrange the equation and then solve for x.
The correct answer is: ⇒ x = 11
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
Solve 27-3X= 3X+27
Solve 27-3X= 3X+27
two year prepaid membership at gym A costs $250 for the first year plus $19 per month for the second year . A two year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year , Leah says the cost for both gym memberships will be the same after the 11th month of the second year , Do you agree , Explain.
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.
two year prepaid membership at gym A costs $250 for the first year plus $19 per month for the second year . A two year prepaid membership at Gym B costs $195 for the first year plus $24 per month for the second year , Leah says the cost for both gym memberships will be the same after the 11th month of the second year , Do you agree , Explain.
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.
Solve the radical equation 
. Check for extraneous solutions
Solve the radical equation . Check for extraneous solutions
Solve : 7X= 8X+12
Solve : 7X= 8X+12
Determine whether a table shows a linear , quadratic or exponential function ?
Determine whether a table shows a linear , quadratic or exponential function ?
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
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
For how many games is the total cost of bowling equal for the two bowling establishments ?
For how many games is the total cost of bowling equal for the two bowling establishments ?
Solve the radical equation 
Check for extraneous solutions
Solve the radical equation Check for extraneous solutions
Solve 8X-4= 2(4X-4)
Solve 8X-4= 2(4X-4)
Determine whether a table shows a linear , quadratic or exponential function ?
Determine whether a table shows a linear , quadratic or exponential function ?
Two window washers start at the heights shown ,one is rising , other is descending . How long does it take for the two window washers to reach the same height ? Explain.
The rate at which an object move is refers as its speed. If an object has traveled far away from the initial place and how much time it takes? To be calculated using the average speed traveled by an object. The speed formula is speed = distance/time. To determine the units for speed, we must consider the units for distance and time.
There are three different ways to write the formula. They are:
• speed = distance ÷ time
• distance = speed × time
• time = distance ÷ speed
Here speed, distance, and time are internally linked. So, to calculate the value of among one, we require another unit.
For example, to determine the time required to complete a journey, we must know the distance and speed first.
Two window washers start at the heights shown ,one is rising , other is descending . How long does it take for the two window washers to reach the same height ? Explain.
The rate at which an object move is refers as its speed. If an object has traveled far away from the initial place and how much time it takes? To be calculated using the average speed traveled by an object. The speed formula is speed = distance/time. To determine the units for speed, we must consider the units for distance and time.
There are three different ways to write the formula. They are:
• speed = distance ÷ time
• distance = speed × time
• time = distance ÷ speed
Here speed, distance, and time are internally linked. So, to calculate the value of among one, we require another unit.
For example, to determine the time required to complete a journey, we must know the distance and speed first.
Check for extraneous solutions
