The sum of a number and its square is 156. Write a quadratic equation that models this scenario using r to represent the number. Solve the quadratic equation to find the numbers. The positive solution is The negative solution is

Q: State two different methods for solving a quadratic equation. Give an example of each. Explain why…

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Q: set up an equation and solve each problem. Find two integers whose product is 104 such that one of…

A: Consider the provided information, Find two integers whose product is 104 such that one of the…

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions 3 and -3

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Q: Jonny solved the quadratic equation. x^2 + 4 = 0 and found no solutions. Is he correct?Why or why…

A: Solution the equation

Q: The quadratic equation, x + 1/x - 4x = 2 has a solution, what is the solution

A: In this question we have to find the value of x

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

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Q: Solve the equation: 5  -     3    =2                                              x     x+4

A: LCM of the denominators x and (x+4) is x(x+4)

Q: Solve the linear equation: 2x + 5 < 17.

A: The given inequality is 2x + 5 < 17. By subtracting 5 from both sides, 2x + 5 - 5 < 17 - 5 By…

Q: -2x +1+ x = 5-4-x

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Q: The sum of a number and its square is 380. Write a quadratic equation that models this scenario…

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Q: set up an equation and solve each problem. Find two integers whose product is 105 such that one of…

A: Solution: Let x= one of two integer      y= second of two integer   we will need to form equation…

Q: set up an equation and solve each problem. Find two numbers such that their sum is 6 and their…

A: Find two numbers such that their sum is 6 and their product is 7.

Q: How do I solve this equation?20-x/3=x/2

A: First we find the LCD and to get rid of fractions, we multiply both sides by the lcd .

Q: Solve: y'-y= 2xe²*

A: The given differential equation is: y'-y=2xe2x To solve the given differential equation.

Q: Solve the linear equation: 8x - 2 ≥ 14

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Q: Solve the linear equation: 3x + 5 = 2x + 13

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Q: What are the three ways to solve a quadratic equation?

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Q: Not sure how to solve this.

A: The linear equations given as option are in one variable.Linear equations in one variable may have…

Q: set up an equation and solve each problem. Find two numbers whose sum is 6 and whose product is 2.

A: We have to convert the given algebraic statements to algebraic equations , then we can use…

Q: Without solving the quadratic equation,x2 = 2x - 19 determine the number and type of solutions.

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Q: Solve the linear equation: 5 + (x - 2)/3 = ( x + 3)/8.

A: Given: 5+x-23=x+38 for solving given equation, we use transportation then take L.C.M. and solve it

Q: First determine whether the solutions of the quadratic equation are real or complex without solving…

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Q: Solve the equation 2x' +x² - 6x = 0. %3D

A: In mathematics, A modulus function gives the magnitude of a number or variable irrespective of its…

Q: Solve the quadratic equation. 3x2-10x-8=0 Options:  x = -2 x = 4 x = 12 x = - 2/3

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Q: a equation can be simplified to obtain 1.6x^2 - 64x - 6400 = 0, Solve this equation.

A: Given: 1.6x2-64x-6400=0   We know that; For the quadratic equation, ax2+bx+c=0, the roots are…

Q: solve. The sum of a number and its square is 90. Find the number.

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Q: Write an original word problem that can be solved using linear equation. Then solve the problem. a

A: Akshay has 2 pens, Pankaj has 3 pens, and both Akshay and Pankaj don't know how many pens Samantha…

Q: Write the quadratic equation whose roots are 3 and -4, and whose leading coefficients is 3.

A: We know, the quadratic equation whose roots are x1 and x2, and whose leading coefficient is a is…

Q: Find the Domain and solve: 2(x +8) (x+3) 25 (x-7) =5 (x +3) %3D Solution is : Example: x=3; x=5

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Q: set up an equation and solve each problem. Find three consecutive integers such that the product of…

A: Consider the three consecutive integers as x,  x+1  and  x+2. Given that the product of the smallest…

Q: set up an equation and solve each problem. The length of a rectangular floor is 1 meter less than…

A: Let the width of the rectangular floor be x. Then the length of the floor will be = (2x - 1) Given…

Q: set up an equation and solve each problem. Find two numbers such that their sum is 10 and their…

A: Given- The sum of two number is 10 and their product is 22. To find- The value of two numbers.…

Q: Solve and graph the solution set on a number line. 2x + 2 4

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Q: Solve the linear equation: 3x/5 - (x - 3)/2 = (x+2)/3

A: the given linear equation is: 3x5-x-32=x+23 we have to solve the given linear equation

Q: Solve quadratic equation. 5x2 = 6 - 13x

A: Given- 5x2=6-13x To solve- The above quadratic equation. Concept Used- The above equation can be…

Q: Solve the linear equation 29 - 3x = 5x + 5. State the property that justifies your first step and…

A: In the given question, the concept of linear equation is applied. Linear Equation An algebraic…

Q: Solve the linear equation. 9x-6=-2+7x

A: Given 9x-6=-2+7x

Q: Explain: Write an original word problem that can be solved using a linear equation. Then solve the…

A: Definition used -          Linear equation -          The equation of a line is given by y= mx+b.…

Q: Write this equation in the simple form, I have the solution but I have a difficult time…

A: Given Simplify -2×6x2+43-6x2+423x2+4x2+432

Q: Write the quadratic equation whose roots are -4 and 2, and whose leading coefficient is 5.

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Q: find the smaller of 2 consecutive integers, x, if the sum of the two integers is -29. write an…

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Q: A rectangular swimming pool is x meters wide. The length of the swimming pool is twice as long as…

A: Form the equation in one variable and solve it using given data.

Q: solution

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Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A: Mariana solved a linear equation and found that it had an infinite number of solutions Hence, final…

Q: Discuss the solution set of the equation. 4 4,

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Q: Write the quadratic equation in standard form with the integer coefficients solution set {2/3,-4}

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Q: Solve the equation: 3x2 - 6x + 2 = 0

A: We have to solve the equation: 3x2-6x+2=0 We know the solution for quadratic equation ax2+bx+c=0,…

Q: Solve linear equation. 6x - 3 = 63

A: Given:6x-3=63

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.